The function $f(x)=3462 \cdot 0.925^x$ represents the population of a town, where $x$ is the number of years since 1996.

What is the $y$-intercept of the function, and what does it mean in the context of the problem?

Graph the exponential function. Identify the domain, range, $y$-intercept, and asymptote of each function. Express the range using an inequality.

$$y=-4^x$$

Tell whether the function represents exponential growth or exponential decay. Identify the growth or decay factor.

$$y = 5.2 \cdot 3 ^ { x }$$

The function $f(x)=0.973 \cdot 1.1872^x$ represents the value in millions of dollars of a software company, where $x$ is the number of years since the company was started.

According to the model, predict what the value of the company will be 10 years after it was started.

The function $f(x)=0.973 \cdot 1.1872^x$ represents the value in millions of dollars of a software company, where $x$ is the number of years since the company was started.

What are the $a$ and $b$ values of the function, and what do these values mean in the context of the problem?

A population of 50 bacteria in a laboratory culture doubles every 30 min. The function

$$p ( x ) = 50 \cdot 2 ^ { x }$$

models the population, where x is the number of 30-min periods. How many bacteria will there be after 1 day?

A population of 50 bacteria in a laboratory culture doubles every 30 min. The function

$$p ( x ) = 50 \cdot 2 ^ { x }$$

models the population, where x is the number of 30-min periods. How many bacteria will there be after 2 h?

The function $f(x)=0.973 \cdot 1.1872^x$ represents the value in millions of dollars of a software company, where $x$ is the number of years since the company was started.

What is the $y$-intercept of the function, and what does it mean in the context of the problem?

Find the balance in each account after the given period. $5000 deposit earning 1.5% compounded quarterly, after 3 yr.

Graph the exponential function. Identify the domain, range, $y$-intercept, and asymptote of each function. Express the range using an inequality.

$$y=4^x$$

A 25-foot ladder rests against a wall. The top of the ladder reaches 20 feet high on the wall. How far away from the wall is the bottom of the ladder in feet?

Graph the exponential function. Identify the domain, range, $y$-intercept, and asymptote.

$$y=\frac{1}{2} \cdot 3^x$$

Samantha took out a loan that does not require her to make any payments for 12 months, although interest is being charged to her account. The table below shows the total amount she owes each month after taking the loan.

$$\begin{array}{|l|c|c|c|c|c|} \hline {\text { Loan Balance }} \\ \hline \text { Month } & 0 & 1 & 2 & 3 & 4 \\ \hline \begin{array}{l} \text { Total Amount } \\ \text{ Owed (\$) } \end{array} & 3700 & 3752 & 3808 & 3858 & 3912 \\ \hline \end{array}$$

Graph the function.

Samantha took out a loan that does not require her to make any payments for 12 months, although interest is being charged to her account. The table below shows the total amount she owes each month after taking the loan.

$$\begin{array}{|l|c|c|c|c|c|} \hline {\text { Loan Balance }} \\ \hline \text { Month } & 0 & 1 & 2 & 3 & 4 \\ \hline \begin{array}{l} \text { Total Amount } \\ \text{ Owed (\$) } \end{array} & 3700 & 3752 & 3808 & 3858 & 3912 \\ \hline \end{array}$$

What are the real-world domain and range of the function? Express each using inequalities .