Exponential Functions

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Multiple Choice

Evaluate the function for the given value:

$$f\left(x\right)=6^x$$ for x = 2 .

• 216

• 36

• $$\frac{1}{36}$$  

• $$\frac{1}{216}$$  

Multiple Choice

Evaluate: $$y=3^{x+1}-2$$  when x = 2.

• 25

• 26

• 27

• 28

Multiple Choice

What is the domain and range of the function $$y=2^x$$  ?

•  Domain: $$x\in R$$
  Range: $$y>0$$

• Domain: $$x\in R$$
  Range: $$y<0$$

• Domain: $$x>-2$$
  Range: $$y>0$$

• Domain: $$x>-2$$
  Range: $$y<0$$

Multiple Choice

Determine the range for the function

$$f\left(x\right)=3\left(2\right)^{x-4}+5$$ .

• y < 5

• y > 5

• y < 4

• y > 4

Multiple Choice

What is the horizontal asymptote of the given exponential function?

$$y=3\left(\frac{1}{2}\right)^{x+3}-2?$$  

• $$y=3$$  

• $$y=2$$  

• $$y=\frac{1}{2}$$  

• $$y=-2$$  

Multiple Choice

What is the domain and range of $$f\left(x\right)=2^{x+1}-3$$ ?

• Domain: $$x>-3$$ , Range: $$y\in R$$

• Domain: $$x\in R$$ , Range: $$y\in R$$

• Domain: $$x\in R$$ , Range: $$y>-3$$

• Domain: $$x\in R$$ , Range: $$y<-3$$

Multiple Choice

What is the horizontal asymptote of $$f\left(x\right)=2^{x+1}-3$$ ?

• $$y=-2$$

• $$y=-2$$

• $$y=-3$$

• $$y=3$$

Multiple Choice

What is the domain and range of $$f\left(x\right)=-3^x+1$$ ?

• Domain: $$x>1$$ , Range: $$y\in R$$

• Domain: $$x\in R$$ , Range: $$y\in R$$

• Domain: $$x\in R$$ , Range: $$y>1$$

• Domain: $$x\in R$$ , Range: $$y<1$$

Multiple Choice

What is the horizontal asymptote of $$f\left(x\right)=-3^x+1$$ ?

• $$y=-1$$

• $$y=1$$

• $$y=-3$$

• $$y=3$$

Open Ended

How will you graph exponential functions?