7.1 Graphing Exponential Functions

For  $f\left(x\right)=4\cdot3^x$ , find the asymptote, domain, range and end behavior.

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Tags

CCSS.HSF-IF.C.7E

For  $f\left(x\right)=3^x$ , find the asymptote, domain, range and end behavior.

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Tags

CCSS.HSF-IF.C.7E

For  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  

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CCSS.HSF-IF.C.8B

Write the exponential equation for this situation.

Mr. Exponent told his English class that each week students tend to forget one sixth of the vocabulary words they learned the previous week. If the students learn 30 words, write an exponential equation to describe the number of words forgotten after x weeks.

• $A=30\left(6\right)^x$

• $A=30\left(\frac{1}{6}\right)^x$

• $A=\frac{1}{6}\left(30\right)^x$

• $A=\frac{1}{6}\left(\frac{1}{30}\right)^x$

Tags

CCSS.HSF.LE.A.2

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.

• $A=37,060\left(1.5\right)^x$

• $A=37,060\left(1.05\right)^x$

• $A=37.060\left(1.005\right)^x$

• $A=1.005\left(37,060\right)^x$

Tags

CCSS.HSF.LE.A.2

Write the exponential equation for the situation.

In 1971, there were 294,105 females participating in high school sports. Since then, that number has tripled each year. Write an equation to represent the number of females participating in high school sports since 1971.

• $A=294,105\left(\frac{1}{3}\right)^x$

• $A=294,105\left(3\right)^x$

• $A=294,105\left(2\right)^x$

• $A=3\left(294,105\right)^x$

Tags

CCSS.HSF.LE.A.2

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.

• $A=179,000\left(1.03\right)^x$

• $A=179,000\left(3\right)^x$

• $A=179,000\left(.97\right)^x$

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

Tags

CCSS.HSF.LE.A.2

For  $f\left(x\right)=3^x+1$  , find the asymptote, domain, range and end behavior

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Tags

CCSS.HSF-IF.C.7E

Simplify. Your answer should contain only positive exponents.
 $2x^3y^{-3}\cdot2x^{-1}y^3$  

•  $4xy$  

•  $2x^2$  

•  $4x^2$  

•  $4y$  

Tags

CCSS.HSA.APR.A.1

Simplify. Your answer should contain only positive exponents.
 $\left(2x^2\right)^{-4}$  

•  $\frac{1}{16x^8}$  

•  $16x^8$  

•  $8x^8$  

•  $\frac{1}{16x^4}$