Quiz - Exponential Functions

For the exponential function below, state the horizontal asymptote, the y-intercept, the range and whether it is growth or decay.  $f\left(x\right)\ =\ 2\left(5\right)^x-8$  

• H.A: y = 5, y-intercept: 2, range: y $\le$  -8 and the function represents exponential growth.

• H.A: y = 2, y-intercept: 5, range: y $\ge$  -8 and the function represents exponential growth.

• H.A: y = -8, y-intercept: -6, range: y $\ge$  -8 and the function represents exponential growth.

• H.A: y = -8, y-intercept: -6, range: y $\le$  -8 and the function represents exponential growth.

 Which is the correct graph of the exponential function?    $f\left(x\right)\ =\ 3\left(\frac{1}{2}\right)^x$  

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• 
• 
• 

 $Evaluate\ f\left(3\right)\ if\ f\left(x\right)\ =\ 3^x-7$  

• 27

• 20

• 9

• 2

Given the graph of f(x), what is most likely the asymptote of the function?

• y = 0

• y = 4

• y = -2

• x = -2

Given the graph of f(x), what is the domain and range of the function?

• Domain: All real numbers, Range: y $>$ 0

• Domain: All real numbers, Range: y $>$ 4

• Domain: x $>$ -2, Range: All real numbers

• Domain: All real numbers, Range: y $>$ -2

If the original function is defined by $f\left(x\right)\ =\ 2^x$ , how would the function change if  $g\left(x\right)=2^{x+6}-4$  ? 

• It is translated 6 units to the left and 4 units down

• It is translated 6 units to the right and 4 units down

• It is translated 6 units up and 4 units to the left

• It is translated 6 units up and 4 units to the right

If the original function is defined by $f\left(x\right)=3^x$ , how would it change if  $h\left(x\right)=-3^{x-2}+7$  ? 

• It is reflected over the x axis, shifted 2 units to the left and 7 units up

• It is reflected over the x axis, shifted 2 units to the right and 7 units up

• It is reflected over the y axis, shifted 7 units to the right and 2 units up

• It is reflected over the x axis, shifted 7 units to the right and 2 units up

What is the initial value of $f\left(t\right)=50\left(1.75\right)^t$ ? 

• 50

• 1.75

• 0

• .75

Does the function represent exponential growth or decay? $f\left(t\right)=0.5\left(1.75\right)^t$  

• Exponential Growth

• Exponential Decay

Your parent's car cost $36,500 when purchased three years ago. If the value of the car decreased by 18% annually, how much is the car worth today?

• $59,970.67

• $36,446

• $20,124.3

• $16,790