STAAR Exponential Functions 2021

A part of an exponential function is graphed on the grid.

Which inequality best represents the domain of the part shown?

• $x\ge-2$

• $y\ge4.5$

• $x\ge4.5$

• $y\ge-2$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What appears to be the domain of the part of the exponential function graphed on the grid?

•  $-1\le x\le3$  

•  $-1\le y\le3$  

•  $5.3\le x\le27$  

•  $5.3\le y\le27$  

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid.

Which inequality best represents the range of f in this situation?

•  $x\ge0$  

•  $y\ge250,000$  

•  $0\le x\le110$  

•  $205,000\le y\le1,000,000$  

Tags

CCSS.HSF-IF.C.7E

The graph of an exponential function is shown on the grid.

Based on the graph, which statement about the function is true?

• The range is the set of all real numbers less than 0.

• The domain is the set of all real numbers greater than -4.

• The range is the set of all real numbers greater than 0.

• The domain is the set of all real numbers less than -4.

Tags

CCSS.HSF-IF.C.7E

A bank account earning annual compound interest was opened, and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after x years can be modeled by $b\left(x\right)=850\left(1.025\right)^x$  .

Which statement is teh best interpretation of one of the vlaues in thsi function?

• The initial balance of the account decreases at a rate of 97.5% each year.

• The balance in the account increases at a rate of 2.5% each year.

• The initial balance of the account was $1,025.

• The balance in the account at the end of year one is $850.

Tags

CCSS.HSF.LE.B.5

Scientists are studying a bacteria sample. The function $f\left(x\right)=245\left(1.12\right)^x$ gives the number of bacteria in the sample at the end of  x days.

Which statement is the best interpretation of one of the values in this function?

• The initial number of bacteria is 12.

• The initial number of bacteria decreases at a rate of 88% each day.

• The number of bacteria increases at a rate of 12% each day

• The number of bacteria at the end of one day is 245.

Tags

CCSS.HSF.LE.B.5

A student used $f\left(x\right)=5.00\left(1.012\right)^x$  to show how the balance in a savings account will increase over time.  



What does the 5.00 represent?

• The interest the savings account earned for the first year

• The annual interest rate of the savings account

• The number of years the savings account has earned interest

• The starting balance of the savings account

Tags

CCSS.HSF.LE.B.5

An exponential function is graphed on the grid.

Which function is best represented by the graph?

• $g\left(x\right)=6\left(\frac{1}{3}\right)^x$

• $g\left(x\right)=6\left(3\right)^x$

• $g\left(x\right)=6-\left(\frac{1}{3}\right)^x$

• $g\left(x\right)=6-\left(3\right)^x$

Tags

CCSS.HSF.LE.A.2

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

• $f\left(x\right)=15\left(\frac{5}{6}\right)^x$

• $f\left(x\right)=18\left(\frac{6}{5}\right)^x$

• $f\left(x\right)=15\left(\frac{6}{5}\right)^x$

• $f\left(x\right)=18\left(\frac{5}{6}\right)^x$

Tags

CCSS.HSF.LE.A.2

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. 

 Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

• $f\left(x\right)=1,024\left(1.50\right)^x$

• $f\left(x\right)=1,024\left(0.50\right)^x$

• $f\left(x\right)=1,024\left(1.05\right)^x$

• $f\left(x\right)=1,024\left(0.05\right)^x$

Tags

CCSS.HSF.LE.A.2