Algebra Unit 4A Exam Review

Which of the following statements are true about the function below? Select all that apply.

 $f\left(x\right)=0.5\left(2\right)^x-1$  

• The function represents exponential growth

• The y-intercept is  $\left(0,\ 0.5\right)$  

• The horizontal asymptote is  $y=-1$  

• The domain is all real numbers  $\left(-\infty,\ \infty\right)$  

• The range is all real numbers  $\left(-\infty,\ \infty\right)$  

Tags

CCSS.HSF-IF.C.7E

Which of the following statements are true of the exponential function? Select all that apply.

• The graph has been shifted up 3 units from the parent function.

• The y-intercept is $\left(0,\ 1\right)$

• The function represents exponential growth.

• The domain is $x>-2$

• The range is $y>3$

Tags

CCSS.HSF-IF.C.7E

Select all the exponential functions that have a y-intercept of $\left(0,\ -5\right)$ 

(Hint: Let x = 0 and evaluate for y)

•  $y=-1\cdot5^x$  

•  $y=-5\cdot2^x$  

•  $y=3\left(\frac{1}{2}\right)^x-8$  

•  $y=4\left(\frac{4}{5}\right)^{\left(x-1\right)}$  

•  $y=-6^{\left(x+1\right)}+1$  

Tags

CCSS.HSF-IF.C.7E

Given

 $f\left(x\right)=2^x+4$ what is the average rate of change from  $x=0$  to  $x=3$  ? 

•  $2$  

•  $\frac{7}{3}$  

•  $\frac{3}{7}$  

•  $\frac{4}{3}$  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which equation best represents the graph above?

• f(x)=5(.5)^x

• f(x)=10(.25)^x

• f(x)=10(5)^x

• f(x)=10(.75)^x

Tags

CCSS.HSF.LE.A.2

What is the end behavior of the function

•  x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→2
•  x →∞,y→2 and x→⁻∞, y→∞

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 0 to day 5.

• $\frac{1283-2000}{5\ -\ 0}=-143.4$

• $\frac{2000-1283}{5\ -\ 0}=\ 143.4$

• $\frac{5-0}{1283-2000}=-0.007$

• $\frac{5-0}{2000-1283}=0.007$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

James bought a car worth $22,000 that loses 10% of its value every year. The value of the car after x years can be modeled by the function f(x) = 22,000(.9)^x.

What is the average rate of change over the first 4 years (year 0 to year 4)?

• $-1,100/year

• $-1521.12/year

• $-1,776/year

• $-1,891.45/year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The student council makes an initial investment in a savings account that earns interest. The value of the savings account after m months is determined by the function v(m) = 2,000(1.005)^m. What is the intercept(s) of the function and what does it represent in context?

Tags

CCSS.HSF.LE.B.5

The student council makes an initial investment in a savings account that earns interest. The value of the savings account after m months is determined by the function v(m) = 2,000(1.005)^m. What is the domain and range of the function?