6.2 A1H HW

Front

What is the y-intercept of the function f(x)=2(4)^x?

Back

The y-intercept (initial value) is 2.

Front

In an exponential function, what does the 'a' represent?

Back

The 'a' represents the y-intercept.

Front

Which function represents the table of values?

Back

f(x) = 4^x.

Front

What is the pattern for the table if the values are multiplied by 3?

Back

The pattern is x3.

Front

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

Back

The common ratio is 4.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a(b)^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What does the base 'b' in an exponential function indicate?

Back

The base 'b' indicates the growth factor of the function.

Front

How do you find the y-intercept of an exponential function?

Back

To find the y-intercept, evaluate the function at x=0.

Front

What is the general form of an exponential function?

Back

The general form is f(x) = a(b)^x.

Front

What happens to the value of f(x) as x increases in an exponential function with b > 1?

Back

The value of f(x) increases rapidly.