Exponential Functions Introduction

An exponential function will have a common _____ between y-values.

Which of the following are exponential functions?

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Which of the following are exponential functions?

• $f\left(x\right)=2\left(3\right)^x$

• $f\left(x\right)=x^3+1$

• $f\left(x\right)=3x-1$

• $f\left(x\right)=3\left(4\right)^x-2$

 $f\left(x\right)=a\cdot b^x$  What does a represent?

• the initial value

• the common ratio

• the input

• the output

 $f\left(x\right)=a\cdot b^x$  What does b represent?

• the initial value

• the common ratio

• the input

• the output

What is the common ratio of the following exponential equation?

 $f\left(x\right)=3\left(4\right)^x$  

What is the initial value of the following exponential equation?

 $f\left(x\right)=3\left(4\right)^x$  

Is the following exponential function increasing or decreasing?

 $f\left(x\right)=2\left(\frac{1}{3}\right)^x$  

• increasing

• decreasing

What do you call a line that a function approaches (but does not touch) as it moves away from the origin?

• intercept

• axis of symmetry

• linear

• asymptote

Exponential growth or decay?

• Exponential Growth

• Exponential Decay