Comparing Functions Algebra

Jasmine compared the x-intercept of f(x) = 2x – 8 to the x-intercept of the function shown in the table.

What is the value of the larger x-intercept of the two functions?

• -8

• -2

• 4

• 16

Which function has a greater rate of change than the function A in the table?

Which functions have a rate of change that is greater than the function shown in the graph? Select ALL that apply.

Which equation has a greater y intercept?

• Equation A

• Equation B

• They have the same Y intercept

• a

• b

• c

• d

The table shown represents two functions, Function A and Function B.

Complete the sentences to compare the two functions.

Function A appears to grow ​ (a)   Function B appears to grow ​ (b)   . As x increases, the quantities for ​ (c)   will eventually exceed the quantities for ​ (d)  

• linearly

• exponentially

• Function B

• Function A

• quadratically

• neither function

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

• A
• B
• C
• D

• A
• B
• C
• D

• F
• G
• H
• J