HW 16: Ch 3.1 Homework(PC)

Front

What type of graph is represented by a linear function?

Back

A linear function is represented by a straight line on a graph.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

What does exponential decay mean?

Back

Exponential decay refers to a decrease in quantity at a rate proportional to its current value, often represented by a function of the form f(x) = a(1 - r)^x, where r is the decay rate.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100.

Front

In the function y = ab^x, what does the variable x represent?

Back

In the function y = ab^x, x represents the independent variable, often interpreted as time.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases at a rate proportional to its current value, while exponential decay occurs when a quantity decreases at a rate proportional to its current value.

Front

What is the value of 10% expressed as a decimal?

Back

0.10

Front

If a function is represented by f(x) = 3(1.2)^x, is it growth or decay?

Back

It is exponential growth because the base (1.2) is greater than 1.

Front

What does the base in an exponential function indicate?

Back

The base in an exponential function indicates the growth or decay factor; if the base is greater than 1, it indicates growth, and if it is between 0 and 1, it indicates decay.

Front

How can you identify a linear function from a graph?

Back

A linear function can be identified from a graph by its straight line, which has a constant slope.