3.1-3.3 Practice Sheet

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

What is the growth rate?

• $35,000

• 0.05

• 1.05

• 0.95

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

(HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Is this exponential growth or decay?
y = 7(1.2)^x

• Growth, because of 7
• Decay, because of 1.2
• Growth because of 1.2
• Decay because of 7

In the formula below:
What does P mean $A\ =\ P\left(1\pm\frac{r}{100}\right)^t$  

• Rate

• Starting Amount

• Interest as a decimal

• Final Amount

Identify which functions are exponential.

• f(x) = 2x - 5

• g(x) = 3^x

• k(x) = 3x⁴ - 6x + 9

• 
  

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

Determine which functions model exponential decay.

• $g\left(x\right)=3\cdot2^x$

• $k\left(x\right)=\left(\frac{1}{3}\right)^x$

• $m\left(x\right)=3\cdot\left(\frac{2}{3}\right)^x$

• $p\left(x\right)=4x^2+5x-9$

Which equation corresponds to the graph below.

• $k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x+4$

• $f\left(x\right)=3\cdot2^x+4$

• $f\left(x\right)=3\cdot2^x-4$

• $m\left(x\right)=3\left(\frac{1}{2}\right)^2-4$

Given the equation below determine the y-intercept.

 $y=3^x$  

• (0, 1)

• (0, 3)

• x= 0

• y = 0

Determine the asymptote of the equation below:

 $g\left(x\right)=4\cdot2^x+3$  

• y = 4

• y = 2

• y = 3