Key Features of Exponential Functions

Key Features of Exponential Functions

Replace this with a sub-header that can be in multiple lines. ​

Multiple Choice

Fill in the blank for each graph using the terms in the word bank.

Exponential Decay

$$y=ab^x\ and\ \ 0<b<1$$

Exponential function: _____________

• $$f(x)=0.5(0.5)^x$$

• $$y\ge\ 0$$

• $$x\rightarrow-\infty,\ y\rightarrow\infty$$

Multiple Choice

Fill in the blank for each graph using the terms in the word bank.

Exponential Decay

$$y=ab^x\ and\ \ 0<b<1$$

a = 0.5, b = ________

• 1.25

• 0.5

• $$x\rightarrow-\infty,\ y\rightarrow\infty$$

Multiple Choice

Fill in the blank for each graph using the terms in the word bank.

Exponential Decay

$$y=ab^x\ and\ \ 0<b<1$$

Asymptote: ______________

• x-axis

• 0.5

• $$x\rightarrow-\infty,\ y\rightarrow\infty$$

Multiple Select

Fill in the blank for each graph using the terms in the word bank.

Exponential Decay

$$y=ab^x\ and\ \ 0<b<1$$

End Behavior: ______________

• $$x\rightarrow\infty,\ y\rightarrow0$$

• $$y\ge0$$

• $$x\rightarrow-\infty,\ y\rightarrow\infty$$

Multiple Choice

Fill in the blank for each graph using the terms in the word bank.

Exponential Decay

Decay factor: ______________

• 0.5

• 1.5

• $$f(x)=0.5(0.5)^x$$

Multiple Choice

Fill in the blank for each graph using the terms in the word bank.

Exponential Decay

y-intercept: ______________

• 0.5

• 1.5

• y-axis

Multiple Choice

Fill in the blank for each graph using the terms in the word bank below. Terms can be used multiple times.

Exponential Growth

$$y=ab^x\ and\$$ _____

• $$y\ \ge\ 0$$

• $$b\ >\ 1$$

• 0.5

• x-axis

Multiple Choice

Fill in the blank for each graph using the terms in the word bank below. Terms can be used multiple times.

Exponential Growth

Exponential function:

a = 0.5 , b =_____

• 0.5

• 1.25

• $$y\ \ge\ 0$$

• $$g(x)=0.5(1.25)^x$$

Multiple Choice

Fill in the blank for each graph using the terms in the word bank below. Terms can be used multiple times.

Exponential Growth

Range: ______

• 0.5

• 1.25

• $$y\ \ge\ 0$$

• y-axis

Multiple Choice

Fill in the blank for each graph using the terms in the word bank below. Terms can be used multiple times.

Exponential Growth

y-intercept:: ______

• 0.5

• 1.2

• $$y\ \ge\ 0$$

• y-axis