Question 1

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 17

Question 2

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)  $y = \frac { 3 } { 4 } x + \frac { 25 } { 4 }$ 
B)  $y = - \frac { 4 } { 3 } x + \frac { 25 } { 3 }$ 
C)  $y = - \frac { 3 } { 4 } x + \frac { 25 } { 4 }$ 
D)  $y = \frac { 3 } { 4 } x - 25$ 
E)  $y = - \frac { 3 } { 4 } x + 25$

Question 3

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

Accepted Answer

A)  $[ 3 , \infty )$ 
B)  $( - \infty , - 3 ] \cup [ 3 , \infty )$ 
C)  $( - \infty , - 3 ) \cup ( 3 , \infty )$ 
D)  $( - 3,3 )$ 
E)  $[ 9 , \infty )$

Question 4

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 2: Functions and Graphs

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

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

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

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

Exam 2: Functions and Graphs

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

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

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

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

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

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

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