Exponential functions

Exponential functions

By Haley Davis

• ​X is a variable

• May also be written as f(x)= b^x

• When b>1, ​graph increases (Exponential growth)

• When b<1, graph decreases (Exponential decay)​

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Some notes about exponential functions​

Poll

What is the name of the 3?

• Constant

• Base

• Exponent

• y

• Domain is all real numbers

  -Interval, Set, inequality

• Range is all positive ​real #'s (no 0's)

  -Interval, Set, Inequality​

• ​HA: y=0

  -x-axis​

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​X	Y​
-2​	​
-1​	​
0​	​
1​	​
2​	​
3​	​

Draw

Graph the equation f(x)=3^x

f(x)= (½​)^x

• Domain is all real numbers

  -Interval, Set, inequality

• Range is all positive ​real #'s (no 0's)

  -Interval, Set, Inequality​

• ​HA: y=0

  -x-axis​​

​x	y​
​-2	​
-1​	​
0​	​
1​	​
2​	​
3​	​

Draw

Graph the equation f(x)= $$f\left(x\right)=\left(\frac{1}{4}\right)^x$$  

Multiple Choice

What is the Domain and range for the graph in interval notation?

• D: (0, $$\infty$$  )

  R: $$\left(-\infty,\infty\right)$$  

• D: ( $$-\infty,\infty$$  )

  R: (0, $$\infty$$  )

• D: y=0

  R: (0, 1)

• D: $$\left(-\infty,\infty\right)$$  

  R: $$\left(-\infty,\infty\right)$$