Comparing Linear, Exponential, and Quadratic Functions Practice

Which of the following statements is true about the functions f(x) and g(x)?

• The y-intercept of the function f(x) is less than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is greater than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is equal to than the y-intercept of the function g(x).

• The y-intercepts cannot be determined.

Which company shows a greater rate of change?

• Water's Edge Rafts
• Ryan's Rafts

The linear function f(x) and the exponential function g(x) are graphed. 
The y-intercept for f(x) is ________ the y-intercept for g(x). 

• greater than
• less than
• equal to
• I do not know

The table represents f(x) while the graph represents g(x). 
The y-intercept of f(x) is _________ the y-intercept of g(x). 

• greater than
• equal to 
• less than 
• I do not know

The graph shows the function g(x). 
f(x)= 4(3)^{x
The growth factor of f(x) is ___________ the growth factor of g(x).} 

• less than
• greater than 
• equal to 
• I do not know

Challenge 2:
Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x). 

• g(x) rate of change is ALWAYS greater than f(x) rate of change. 
• g(x) is NEVER greater than f(x) rate of change. 
• g(x) will eventually exceed the rate of change of f(x). 
• There is not enough information to compare the rate of change of f(x) to g(x). 

Which statement below is TRUE regarding the two functions?

• Both functions are linear

• Both functions are increasing

• Both functions have a y-intercept of 1

• Both functions are exponential growth

Which function is exponential?

• A

• B

• C

The linear function f(x) and the exponential function g(x) are graphed. 
The y-intercept for f(x) is ________ the y-intercept for g(x). 

• greater than
• less than
• equal to
• I do not know

The table represents f(x) while the graph represents g(x). 
The y-intercept of f(x) is _________ the y-intercept of g(x). 

• greater than
• equal to 
• less than 
• I do not know