Exponential Growth and Decay Practice Quiz

 $f\left(x\right)\ =\ ab^{x-c}+d$  Which letter represents vertical shifts in the exponential function

• a

• b

• c

• d

Which equation best describes a horizontal reflection of the exponential function?

• $f\left(x\right)\ =\ a\left(b\right)^{-\left(x-c\right)}+d$

• $f\left(x\right)\ =\ -a\left(b\right)^{\left(x-c\right)}+d$

• $f\left(x\right)\ =\ a\left(-b\right)^{\left(x-c\right)}+d$

• $f\left(x\right)\ =\ a\left(b\right)^{\left(x-c\right)}-d$

When this variable is multiplied by -1, it creates a vertical reflection

• a

• b

• c

• d

Which variable represents the rate of growth or decay? $f\left(x\right)\ =\ ab^{x-c}+d$  

• a

• b

• c

• d

Tags

CCSS.HSF-IF.C.8B

If a function $f\left(x\right)\ =\ 0.5\left(3\right)^x$  , how would you describe the rate of growth or decay?

• decaying by 50%

• growing by 300%

• growing by 200%

• growing by 150%

Tags

CCSS.HSF-IF.C.8B

What would the rate(b) equal for something decaying by 35% each period?

• -0.35

• 0.35

• 0.65

• 1.35

Tags

CCSS.HSF-LE.A.1C

What would the equation be for an exponential function with rate decaying by 30% starting with 100?

• $f\left(x\right)\ =\ 100\left(1.30\right)^x$

• $f\left(x\right)\ =\ 100x^{0.70}$

• $f\left(x\right)\ =\ 30\left(1.30\right)^x$

• $f\left(x\right)\ =\ 100\left(0.70\right)^x$

Tags

CCSS.HSF.LE.A.2

Steve has $50 in a locked safe that he won't invest. He does invest $120 in SteveCoin, which grows at a rate of 415% every month he owns it. What formula best represents Steve's financial exploits?

• $f\left(x\right)\ =\ 120\left(5.15\right)^x+50$

• $f\left(x\right)\ =\ 120\left(4.15\right)^x+50$

• $f\left(x\right)\ =\ 50\left(5.15\right)^x+120$

• $f\left(x\right)\ =\ 5.15\left(120\right)^x+50$

Tags

CCSS.HSF.LE.A.2

What is the best description for an asymptote?

• Line the function never crosses

• Line that cuts the function in half

• Line that touches the vertex of the function

• Line that finds the slope of the function

Tags

CCSS.HSF-IF.C.7D

If there are no shifts, where is the natural horizontal asymptote of the exponential function $f\left(x\right)\ =\ ab^x$  

• y = 0

• y = 2

• y = -2

• x = 0

Tags

CCSS.HSF-IF.C.7E