Chapter 3 Review

Growth or decay?
 $f\left(x\right)\ =\ -2\left(3\right)^x-1$  

• Growth because  $a>0$  

• Growth because  $b>1$  

• Decay because  $a<0$  

• Decay because  $c\ <1$  

Tags

CCSS.HSF-IF.C.8B

Growth or decay?
 $f\left(x\right)\ =\ 42\left(\frac{3}{4}\right)^{x\ }+10$  

• Growth because  $b>1$  

• Growth because  $a\ >0$  

• Decay because  $a\ >\ 0$  

• Decay because  $b<1$  

Tags

CCSS.HSF-IF.C.8B

Growth or decay?
 $f\left(x\right)\ =\ 0.1\left(1.001\right)^x+0.001$  

• Growth because  $b\ >1$  

• Growth because  $a>0$  

• Decay because  $b\ <1$  

• Decay because  $a\ =\ 0$  

Tags

CCSS.HSF-IF.C.8B

What is the domain of
 $f\left(x\right)\ =\ 40\left(1.7283\right)^x+1997$ ? 
Select all correct answers.

•  $\left(-\infty,0\right)\cup\left(0,\infty\right)$  

•  $\left(-\infty,\infty\right)$  

• All real numbers

•  $x\ =\ 1.7283$  

What is the horizontal asymptote of
 $f\left(x\right)\ =\ -2\left(0.5\right)^x-3$ ? 

•  $y=-5$  

•  $y=0.5$  

•  $y=-3$  

• This function has no horizontal asymptote

Tags

CCSS.HSF-IF.C.7E

What is the range of
 $f\left(x\right)\ =\ 3^x+2$ ?
Select all correct answers. 

•  $\left(-\infty,2\right)$  

•  $\left(2,\infty\right)$  

•  $y>2$  

•  $y<2$  

A loan of $400 accrues 3.5% interest every 6 months. What is the balance of the loan after 1.5 years?

• $400\left(1+3.5\right)^3$

• $400\left(1-0.35\right)^{1.5}$

• $400\left(1+0.035\right)^{1.5}$

• $400\left(1+0.035\right)^3$

Tags

CCSS.HSF-LE.A.1C

Humans typically lose 1% of their 100 billion neurons each year through adulthood (starting at age 18). Which function models this phenomenon, where  $t$  is the age of the person?

•  $100,000,000,000\left(1-0.01\right)^{t-18}$  

•  $100,000,000,000\left(1+0.1\right)^t$  

•  $100,000,000,000\left(1+0.01\right)^t$  

•  $100,000,000,000\left(1-0.01\right)^{18}$  

Tags

CCSS.HSF.LE.A.2

The student body at a school has steadily grown at a rate of 5% every year since 2010, when the school had 250 students. If this trend continues, how many students will be at the school in 2030?

• $663$ students

• $225$ students

• $502$ students

• My calculator just broke

Tags

CCSS.HSF.BF.A.2

True or false: $\log_03$ exists.

• True, and it equals  $0.$  

• True, and it equals  $1.$  

• True, and it equals  $3.$  

• False, it does not exist.

Tags

CCSS.HSF.BF.B.5