A+ Answers

Question 1         
write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.
The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.

A. f(x) = 6            
B. f(x) = 8            
C. f(x) = 3            
D. f(x) = 5            
Question 2         
 Determine whether the function is odd, even, neither, or can’t be determined:
f(x) = x√1 - x²

A. Even
B. Odd  
C. Neither           
D. Can’t be determined   

Question 3         
Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.
(5, 3) and (5, -2)

A. 1; rises            
B. 4/9;horizontal
C. Undefined; vertical     
D. Undefined; falls          
Question 4         
Give the slope and y-intercept of each line whose equation is given.
f(x) = -2x + 1

A. m = 3; b = 4    
B. m = -2; b = 1   
C. m = 6; b = 7    
D. m = 2; b = 1    
Question 5         
Find the average rate of change of the function from x₁ to x₂.
f(x) = x² + 2x from x₁ = 3 to x₂ = 5

A. 10     
B. 15     
C. 4       
D. 25     
              
Question 5         
Find the average rate of change of the function from x₁ to x₂.
f(x) = x² + 2x from x₁ = 3 to x₂ = 5

A. 10     
B. 15     
C. 4       
D. 25     
Question 6         
Use the given conditions to write an equation for each line in point-slope form.
Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.

A. y + 8 = 5(x - 6)              
B. y - 3 = -5(x + 20)           
C. y + 3 = -5(x - 2)             
D. y - 3 = -5(x + 5)             
Question 7         
Determine whether the following equation defines y as a function of x:
x + y = 16

A. Y is a function of x.     
B. Y is not a function of x.             
C. X is a function of y.     
D. X is not a function of y.             
              
Question 8         
Give the slope and y-intercept of each line whose equation is given.
f(x) = 3/4 x - 2

A. m = 3/4; b = -2              
B. m = 6; b = 7    
C. m = 2; b = 1    
D. m = 8; b = 7    
Question 9         
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.
The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.

A. f(x) = 2/3x – 4
B. f(x) = -2/5x – 6              
C. f(x) = -2/3x – 2              
D. f(x) = -2/7x + 8              
Question 10       
              
Evaluate each function at the given values of the independent variable and simplify.
g(x) = x² + 2x + 3
1. g(-1) = 2
2. g(x + 5)
3. g(-x)

A.
1. 2
2. x² + 12x + 38
3. x² - 2x + 3       
B.
1. 4
2. x² + 6x + 38
3. x² - 3x +5        
C.
1. 7
2. x² + 7x + 56
3. x²+ 4x + 7       
D.
1. 5
2. x² -12x + 38
3. x²+ 5x + 7       
Question 11       
Determine whether the following equation defines y as a function of x:
x² + y² = 16

A. Y is a function of x.     
B. X is not a function of y.             
C. X is a function of x.     
D. Y is not a function of x.             
Question 12       
Find the average rate of change of the function from x₁ to x₂.
f(x) = 3x from x₁ = 0 to x₂ = 5

A. -4      
B. 8       
C. 2       
D. 3       
Question 13       
Use the given conditions to write an equation for each line in point-slope form.
Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.

A. y + 10 = -4(x + 8)          
B. y + 11 = 4(x² + 8)          
C. y - 12 = -5(x + 20)        
D. y + 14 = -4(x - 5)           
Question 14       
Determine whether the following equation defines y as a function of x:
x² + y = 16

A. Y is not a function of x.             
B. X is a function of y.     
C. X is not a function of y.             
D. Y is a function of x.     

Question 15       
Determine whether the function is odd, even, neither, or can’t be determined:
f(x) = x³ + x

A. Even
B. Odd  
C. Neither           
D. Can’t be determined   
Question 16       
 Determine whether the function is odd, even, neither, or can’t be determined:
h(x) = x² – x⁴

A. Even
B. Odd  
C. Neither           
D. Can’t be determined   

Question 17       
Evaluate each piecewise function at the given values of the independent variable.
f(x)          =                           3x + 5 if x < 0
4x + 7 if x ≥ 0
1. f(-2)
2. f(0)
3. f(3)

A. 1. -1
2. 7
3. 19     
B. 1. -5
2. 9
3. 19     
C. 1. -1
2. 7
3. 21     
D. 1. 6
2. 7
3. 19     
Question 18       
Give the slope and y-intercept of each line whose equation is given.
g(x) = -1/2x

A. m = 3/4; b = -2              
B. m = 6; b = 7    
C. m = -1/2; b = 0              
D. m = 1; b = 8    
              
Question 19       
Evaluate each function at the given values of the independent variable and simplify.
f(x) = 4x + 5
1. f(6)
2. f(x + 1)
3. f(-x)

A. 1. 27
2. 5x + 9
3. -4x + 8             
B. 1. 35
2. 4x + 9
3. -7x + 5             
C. 1. 29
2. 4x + 9
3. -4x + 5             
D. 1. 29
2. 3x + 8
3. 4x + 6              
Question 20       
Determine whether the function is odd, even, neither, or can’t be determined:
g(x) = x² + x

A. Even
B. Odd  
C. Neither           
D. Can’t be determined