Compare Linear Exponential and Absolute Value Equations

Which parent function matches the graph?

• f(x) = x

• f(x) = x²

• f(x) =2^x

• f(x) =|x|

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

What type of function is shown?

• exponential

• linear

• quadratic

• square root

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

Dana and Dona made model rockets. Dana has Rocket 1 and Dona has Rocket 2. Both launch their rockets at the same time. If both rockets continue to increase in height at their same rates, which rocket will be the highest at 40 seconds. Rocket ​ (a)   will be higher, because it is a(n) ​ (b)   function. Rocket ​ (c)   is a(n) ​ ​ (d)   function.

• 1
• Exponential
• 2
• Polynomial
• Linear
• Absolute Value
• Piecewise

Which statement below describes the comparison of the linear function f(x) and the exponential function g(x)?

• The value of g(x) is always greater than the value of f(x).

• The value of g(x) is never greater than the value of f(x).

• The value of g(x) will eventually exceed the value of f(x).

• There is not enough information to compare the value of f(x) to the value of g(x).

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).

Tags

TEKS.MATH.8.5C

True or False: All increasing exponential functions eventually exceed all increasing linear functions.

• True

• False

Which statement is true?

• A

• B

• C

• D

Which statements 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

• Both functions are exponential decay