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 
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)  $y = - \frac { 3 } { 4 } x + 25$ 
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)  $[ 9 , \infty )$ 
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)    
A)    
B)    
C)    
D)    
E)

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. $y = \sqrt { x } - 4$

Topics From Algebra

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series, and Probability

Topics From Analytical Geometry

Filters

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

Topics From Algebra

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series, and Probability

Topics From Analytical Geometry

Filters

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. $y = \sqrt { x } - 4$