Exponential Functions and Equations Practice

For  $f\left(x\right)=4\cdot3^x$ , all of the following are true EXCEPT:

• y-intercept: (0, 1)

• End Behavior: Left approaches 0, Right Approaches  $\infty$ 

• Domain:  $\left(-\infty,\infty\right)$ 

• Range:  $\left(0,\infty\right)$  

For  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  , all are true EXCEPT: 

• y-intercept: (0,1)

• End Behavior: Left approaches 0, Right approaches  $\infty$  

• Domain:  $\left(-\infty,\infty\right)$  

• Range:  $\left(0,\infty\right)$  

What is the equation that best represents the graph?

• $y=\left(\frac{1}{2}\right)^x$

• y=2^x

• y=2^-x

• y=x²

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: −∞<x<∞

  Range: y>0

• Domain: −∞<x<∞

  Range: y>1

• Domain: −2<x<∞

  Range: y<0

• Domain: −∞<x<∞

  Range: y>0

Given y=3^x determine the y-intercept 

• (0,1)
• (0,3)
• No Y-intercept
• y=1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Is the pictured graph growth, decay, or linear or none?  

• Growth
• Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

Is the pictured graph growth, decay, or linear or none?  

• Growth
• Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

 $y=7\left(\frac{5}{4}\right)^x$  is an example of what type of function?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Write the exponential equation for this situation.

The median household income in the US increased by an average of 0.5% each month between 1979 and 1999. If the median household income was $37,060 in 1979, write an equation for the median household income for x months.

• $A=37,060\left(1.5\right)^x$

• $A=37,060\left(1.05\right)^x$

• $A=37.060\left(1.005\right)^x$

• $A=1.005\left(37,060\right)^x$

Write the exponential equation for the situation.

A family bought a house 10 years ago. Since that time, the value of the real estate in the neighborhood has declined 3% per year. If you initially paid $179,000 for their house, write an equation to model the value of the house after x years.

• $A=179,000\left(1.03\right)^x$

• $A=179,000\left(3\right)^x$

• $A=179,000\left(.97\right)^x$

• $A=179,000\left(\frac{1}{3}\right)^x$