Question 1

Find the domain of  fff .  f(x) =x2−9f ( x )  = \sqrt { x ^ { 2 } - 9 }f(x) =x2−9​

Accepted Answer

A)    [3,∞) [ 3 , \infty ) [3,∞)  
B)    (−∞,−3]∪[3,∞) ( - \infty , - 3 ] \cup [ 3 , \infty ) (−∞,−3]∪[3,∞)  
C)    (−∞,−3) ∪(3,∞) ( - \infty , - 3 )  \cup ( 3 , \infty ) (−∞,−3) ∪(3,∞)  
D)    (−3,3) ( - 3,3 ) (−3,3)  
E)    [9,∞) [ 9 , \infty ) [9,∞) F) A) and E)
G) B) and D)

Question 2

Find two positive real numbers whose sum is 48 and whose product is a maximum.

Accepted Answer

A)   24 and 24
B)   44 and 4
C)   2 and 46
D)   27 and 21
E)   31 and 17F) A) and B)
G) None of the above

Question 3

Sketch the graph of the equation.  y=x−4y = \sqrt { x } - 4y=x​−4

Accepted Answer

A)   
B)   
C)   
D)   
E)    F) B) and E)
G) C) and D)

Question 4

Find an equation of the line that is tangent to the circle x 2  + y 2  = 25 at the point P ( 3, 4 ) .

Accepted Answer

A)    y=34x+254y = \frac { 3 } { 4 } x + \frac { 25 } { 4 }y=43​x+425​ 
B)    y=−43x+253y = - \frac { 4 } { 3 } x + \frac { 25 } { 3 }y=−34​x+325​ 
C)    y=−34x+254y = - \frac { 3 } { 4 } x + \frac { 25 } { 4 }y=−43​x+425​ 
D)    y=34x−25y = \frac { 3 } { 4 } x - 25y=43​x−25 
E)    y=−34x+25y = - \frac { 3 } { 4 } x + 25y=−43​x+25F) B) and D)
G) A) and C)

Exam 2: Functions and Graphs

Find an equation of the line that is tangent to the circle x² + y² = 25 at the point P ( 3, 4 ) .

Correct Answer
verified

Find two positive real numbers whose sum is 48 and whose product is a maximum.

Correct Answer
verified

Sketch the graph of the equation. $y = \sqrt { x } - 4$

Correct Answer
verified

Find the domain of $f$ . $f ( x ) = \sqrt { x ^ { 2 } - 9 }$

Correct Answer
verified

Exam 2: Functions and Graphs

Find an equation of the line that is tangent to the circle x 2 + y 2 = 25 at the point P ( 3, 4 ) .

Correct AnswerverifiedShow Answer

Find two positive real numbers whose sum is 48 and whose product is a maximum.

Correct AnswerverifiedShow Answer

Sketch the graph of the equation. y=x−4y = \sqrt { x } - 4y=x​−4

Correct AnswerverifiedShow Answer

Find the domain of fff . f(x) =x2−9f ( x ) = \sqrt { x ^ { 2 } - 9 }f(x) =x2−9​

Correct AnswerverifiedShow Answer

Find an equation of the line that is tangent to the circle x² + y² = 25 at the point P ( 3, 4 ) .

Correct Answer
verified

Correct Answer
verified

Sketch the graph of the equation. $y = \sqrt { x } - 4$

Correct Answer
verified

Find the domain of $f$ . $f ( x ) = \sqrt { x ^ { 2 } - 9 }$

Correct Answer
verified