Linear vs Exponential Graphs

Write the exponential equation that represents the given table.

Write the exponential equation that represents the given graph.

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

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

• True

• False

• The exponential function NEVER exceeds the linear Functions

• The exponential functions ALWAYS exceeds the linear function

• The linear function exceeds the exponential function over the interval [0, 4]

• The exponential function exceeds the Linear functions over the interval [3, 4]

• The exponential function exceeds the Linear functions over the interval [4, 5]

The image shows the graphs of a linear function, f(x), exponential function, g(x), and quadratic function, h(x).

Over what positive interval does f(x) exceed g(x)?

• (0,6)

• (0,5.5)

• (6,∞)

• (-∞,6)

The image shows the graphs of a linear function, f(x), exponential function, g(x), and quadratic function, h(x). Using only what can be seen in the image, for what positive values does g(x) exceed h(x)?

• (0,1)

• (1,0)

• (1,∞)

• (1,6)

• Exponential Functions NEVER exceed Linear Functions

• Exponential Functions ALWAYS exceed Linear Functions

• The linear function exceeds the exponential function over the interval [0, 6]

• The exponential function exceeds the Linear functions over the interval [5, 6]

A(n) _________________ function will ADD the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above