Comparing Exponential Linear Quadratic Functions

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

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

Put these functions in order from least to greatest based on their Y-INTERCEPT.

• B C A

• B A C

• C A B

• C B A

Is the equation linear, exponential, or quadratic?
y = 2x+ 4

• Linear

• Exponential

• Quadratic

• None of the above

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 is true about the graphs of exponential functions?

• The graphs of exponential functions never exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions always exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear functions but not quadratic functions.

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 is true?

• A

• B

• C

• D

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

Two functions are shown below. For what positive minimum value of x will f(x) exceed g(x)? f(x) = x² - 5x + 6 g(x) = 2x + 8

• x = 3

• x = 5

• x = 7

• x = 8