Question 1

Graphically estimate the x- and y-intercepts of the graph.
​ $$y = 2 - 2 x ^ { 3 }$$ ​  ​

Accepted Answer

x-intercep...

Question 2

Find the distance between the point and the line. Round your answer to four decimal places. $$\begin{array}{ll}
\text {Point }&\text {Line }\(5,6)&7 x+y=1
\end{array}$$
 ​

Accepted Answer

The answer of Find the distance between the point and...

Question 3

Find the inclination Θ (in degrees) of the line with a slope of m. Round your answer to one decimal places.
​ $m = 0.6666666667$ ​

Accepted Answer

The answer of Find the inclination Θ (in degrees) of...

Question 4

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied.
​
x > 3 and y < 0
​

Accepted Answer

The answer of Determine the quadrant(s) in which (x, y)...

Question 5

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.
​ $10 x + 4 y ^ { 8 } = 0$ ​

Accepted Answer

Symmetric ...

Question 6

Find the value(s) of x for which $f ( x ) = g ( x )$ .
​ $f ( x ) = x ^ { 2 } + 4 x - 26$ $g ( x ) = 7 x - 8$ ​

Accepted Answer

x= -3, 6

Question 7

The parent function $f ( x ) = \sqrt { x }$ is related to g. Describe the sequence of transformations from f to g.
​ $g ( x ) = \sqrt { x - 3 }$ ​

Accepted Answer

Horizontal...

Question 8

Find the angle $\theta$ (in radians and degrees) between the lines. Round your answer to four decimal places for radians and round your answer to one decimal places for degree.
​ $\begin{array} { l } 
x - y = 10 \
3 x - 2 y = 1
\end{array}$ ​

Accepted Answer

The answer of Find the angle $\theta$ (in radians and...

Question 9

A roof has a rise of 5 feet for every horizontal change of 7 feet (see figure). Find the inclination of the roof. Round your answers to one decimal place.
​  ​ $$a = 5 , b = 7$$ ​

Accepted Answer

The answer of A roof has a rise of 5...

Question 10

A rectangle is bounded by the x-axis and the semicircle $y = \sqrt { 49 - x ^ { 2 } }$ (see figure). Select the area A of the rectangle as a function of x, and determine the domain of the function.
​  ​

Accepted Answer

$$A ( x ) = 2 | x | \sqrt { 49 - x ^ { 2 } }$$ , $- 7 \leq x \leq 7$

Question 11

Select the graph of g.
​ $g ( x ) = 5 ( x - 4 ) ^ { 3 }$ ​

Accepted Answer

The answer of Select the graph of g.
​ \(g (...

Question 12

Evaluate $g ( s + 10 )$ if $g ( y ) = 11 - 4 y$ .
​

Accepted Answer

$g ( s + 10 ) = - 29 - 4 s$

Question 13

Write an equation for the function that is described by the following characteristics.
The shape of $f ( x ) = x ^ { 2 }$ , but moved eight units down, two units to the left, and then reflected in the x-axis.

Accepted Answer

The answer of Write an equation for the function that...

Question 14

From the graph of the quadratic function $f ( x ) = - x ^ { 2 } - 4 x - 9$ , determine the equation of the axis of symmetry.

Accepted Answer

The answer of From the graph of the quadratic function...

Exam 2: Functions and Graphs

Graphically estimate the x- and y-intercepts of the graph. $y = 2 - 2 x ^ { 3 }$ $Graphically estimate the x- and y-intercepts of the graph. y = 2 - 2 x ^ { 3 } $

Correct Answer
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x-intercep...
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Find the distance between the point and the line. Round your answer to four decimal places. $\begin{array}{ll}\text {Point }&\text {Line }\5,6)&7 x+y=1\end{array}$

Correct Answer
verified

Find the inclination Θ (in degrees) of the line with a slope of m. Round your answer to one decimal places. $m = 0.6666666667$

Correct Answer
verified

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. x > 3 and y < 0

Correct Answer
verified

Use algebraic tests to check the following for symmetry with respect to the axes and the origin. $10 x + 4 y ^ { 8 } = 0$

Correct Answer
verified
Symmetric ...
View Answer

Find the value(s) of x for which $f ( x ) = g ( x )$ . $f ( x ) = x ^ { 2 } + 4 x - 26$ $g ( x ) = 7 x - 8$

Correct Answer
verified
x= -3, 6

The parent function $f ( x ) = \sqrt { x }$ is related to g. Describe the sequence of transformations from f to g. $g ( x ) = \sqrt { x - 3 }$

Correct Answer
verified
Horizontal...
View Answer

Find the angle $\theta$ (in radians and degrees) between the lines. Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $\begin{array} { l } x - y = 10 \\3 x - 2 y = 1\end{array}$

Correct Answer
verified

A roof has a rise of 5 feet for every horizontal change of 7 feet (see figure). Find the inclination of the roof. Round your answers to one decimal place. $a = 5 , b = 7$

Correct Answer
verified

Correct Answer
verified
\[A ( x ) = 2 | x | \sqrt { 49 - x ^ { 2 } }\] , \(- 7 \leq x \leq 7\)

Select the graph of g. $g ( x ) = 5 ( x - 4 ) ^ { 3 }$

Correct Answer
verified

Evaluate $g ( s + 10 )$ if $g ( y ) = 11 - 4 y$ .

Correct Answer
verified
\(g ( s + 10 ) = - 29 - 4 s\)

Write an equation for the function that is described by the following characteristics. The shape of $f ( x ) = x ^ { 2 }$ , but moved eight units down, two units to the left, and then reflected in the x-axis.

Correct Answer
verified

From the graph of the quadratic function $f ( x ) = - x ^ { 2 } - 4 x - 9$ , determine the equation of the axis of symmetry.

Correct Answer
verified

Exam 2: Functions and Graphs

Graphically estimate the x- and y-intercepts of the graph. ​ y=2−2x3y = 2 - 2 x ^ { 3 }y=2−2x3 ​ ​

Correct Answerverifiedx-intercep...View AnswerShow Answer

Find the distance between the point and the line. Round your answer to four decimal places. Point Line \5,6)7x+y=1\begin{array}{ll}\text {Point }&\text {Line }\5,6)&7 x+y=1\end{array}Point ​Line \5,6)​7x+y=1​ ​

Correct AnswerverifiedShow Answer

Find the inclination Θ (in degrees) of the line with a slope of m. Round your answer to one decimal places. ​ m=0.6666666667m = 0.6666666667m=0.6666666667 ​

Correct AnswerverifiedShow Answer

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. ​ x > 3 and y < 0 ​

Correct AnswerverifiedShow Answer

Use algebraic tests to check the following for symmetry with respect to the axes and the origin. ​ 10x+4y8=010 x + 4 y ^ { 8 } = 010x+4y8=0 ​

Correct AnswerverifiedSymmetric ...View AnswerShow Answer

Find the value(s) of x for which f(x)=g(x)f ( x ) = g ( x )f(x)=g(x) . ​ f(x)=x2+4x−26f ( x ) = x ^ { 2 } + 4 x - 26f(x)=x2+4x−26 g(x)=7x−8g ( x ) = 7 x - 8g(x)=7x−8 ​

Correct Answerverifiedx= -3, 6

The parent function f(x)=xf ( x ) = \sqrt { x }f(x)=x​ is related to g. Describe the sequence of transformations from f to g. ​ g(x)=x−3g ( x ) = \sqrt { x - 3 }g(x)=x−3​ ​

Correct AnswerverifiedHorizontal...View AnswerShow Answer

Find the angle θ\thetaθ (in radians and degrees) between the lines. Round your answer to four decimal places for radians and round your answer to one decimal places for degree. ​ x−y=103x−2y=1\begin{array} { l } x - y = 10 \\3 x - 2 y = 1\end{array}x−y=103x−2y=1​ ​

Correct AnswerverifiedShow Answer

A roof has a rise of 5 feet for every horizontal change of 7 feet (see figure). Find the inclination of the roof. Round your answers to one decimal place. ​ ​ a=5,b=7a = 5 , b = 7a=5,b=7 ​

Correct AnswerverifiedShow Answer

A rectangle is bounded by the x-axis and the semicircle y=49−x2y = \sqrt { 49 - x ^ { 2 } }y=49−x2​ (see figure). Select the area A of the rectangle as a function of x, and determine the domain of the function. ​ ​

Correct Answerverified\[A ( x ) = 2 | x | \sqrt { 49 - x ^ { 2 } }\] , \(- 7 \leq x \leq 7\)

Select the graph of g. ​ g(x)=5(x−4)3g ( x ) = 5 ( x - 4 ) ^ { 3 }g(x)=5(x−4)3 ​

Correct AnswerverifiedShow Answer

Evaluate g(s+10)g ( s + 10 )g(s+10) if g(y)=11−4yg ( y ) = 11 - 4 yg(y)=11−4y . ​

Correct Answerverified\(g ( s + 10 ) = - 29 - 4 s\)

Write an equation for the function that is described by the following characteristics. The shape of f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2 , but moved eight units down, two units to the left, and then reflected in the x-axis.

Correct AnswerverifiedShow Answer

From the graph of the quadratic function f(x)=−x2−4x−9f ( x ) = - x ^ { 2 } - 4 x - 9f(x)=−x2−4x−9 , determine the equation of the axis of symmetry.

Correct AnswerverifiedShow Answer

Graphically estimate the x- and y-intercepts of the graph. $y = 2 - 2 x ^ { 3 }$ $Graphically estimate the x- and y-intercepts of the graph. y = 2 - 2 x ^ { 3 } $

Correct Answer
verified
x-intercep...
View Answer

Find the distance between the point and the line. Round your answer to four decimal places. $\begin{array}{ll}\text {Point }&\text {Line }\5,6)&7 x+y=1\end{array}$

Correct Answer
verified

Find the inclination Θ (in degrees) of the line with a slope of m. Round your answer to one decimal places. $m = 0.6666666667$

Correct Answer
verified

Determine the quadrant(s) in which (x, y) is located so that the condition(s) is (are) satisfied. x > 3 and y < 0

Correct Answer
verified

Use algebraic tests to check the following for symmetry with respect to the axes and the origin. $10 x + 4 y ^ { 8 } = 0$

Correct Answer
verified
Symmetric ...
View Answer

Find the value(s) of x for which $f ( x ) = g ( x )$ . $f ( x ) = x ^ { 2 } + 4 x - 26$ $g ( x ) = 7 x - 8$

Correct Answer
verified
x= -3, 6

The parent function $f ( x ) = \sqrt { x }$ is related to g. Describe the sequence of transformations from f to g. $g ( x ) = \sqrt { x - 3 }$

Correct Answer
verified
Horizontal...
View Answer

Find the angle $\theta$ (in radians and degrees) between the lines. Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $\begin{array} { l } x - y = 10 \\3 x - 2 y = 1\end{array}$

Correct Answer
verified

A roof has a rise of 5 feet for every horizontal change of 7 feet (see figure). Find the inclination of the roof. Round your answers to one decimal place. $a = 5 , b = 7$

Correct Answer
verified

Correct Answer
verified
\[A ( x ) = 2 | x | \sqrt { 49 - x ^ { 2 } }\] , \(- 7 \leq x \leq 7\)

Select the graph of g. $g ( x ) = 5 ( x - 4 ) ^ { 3 }$

Correct Answer
verified

Evaluate $g ( s + 10 )$ if $g ( y ) = 11 - 4 y$ .

Correct Answer
verified
\(g ( s + 10 ) = - 29 - 4 s\)

Write an equation for the function that is described by the following characteristics. The shape of $f ( x ) = x ^ { 2 }$ , but moved eight units down, two units to the left, and then reflected in the x-axis.

Correct Answer
verified

From the graph of the quadratic function $f ( x ) = - x ^ { 2 } - 4 x - 9$ , determine the equation of the axis of symmetry.

Correct Answer
verified