Exponential Functions and Equations - Day 4

The table below contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship?

• $Q\left(x\right)\ =\ \left(0.25\right)^x$

• $Q\left(x\right)\ =\ 256\left(0.25\right)^x$

• $Q\left(x\right)\ =\ 0.0625\left(4\right)^x$

• $Q\left(x\right)=0.5\left(4\right)^x$

The graph of an exponential functions is shown on the grid. What is the y-intercept and the equation of the asymptote of the graph?

• y - intercept: 6

  asymptote: y = 0

• y - intercept: 0

  asymptote: y = 6

• y - intercept: 0

  asymptote: x = 6

• y - intercept: 6

  asymptote: x = 0

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 the best representation of one of the values in this 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 one year is $850.

What is the value of the y-intercept of the graph of  $h\left(x\right)\ =\ 29\left(5.2\right)^x$  .

• 0

• 29

• 5.2

• -1

Which graph best represents $y\ =\ 10\left(0.85\right)^x$ ? 

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A part of an exponential function is graphed on the grid. Which inequality best represents the domain of the part shown?

• $x\ge-2$

• $y\ge4.5$

• $x\ge4.5$

• $y\ \ge-2$

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?

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

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

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

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

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

• $-1\le x\le3$

• $-1\le y\le27$

• $5.3\le x\le27$

• $5.3\le y\le27$

Which graph best represents $f\left(x\right)=2\left(5\right)^x$ ? 

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Scientist 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.