7-1/7-2 Mixed Practice

Front

What is the general form of an exponential function?

Back

Front

What does the base of an exponential function indicate?

Back

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

Front

How do you find the x-value when y is given in an exponential equation?

Back

Front

Back

The range of the function is all real numbers greater than k if b > 1 (growth) or all real numbers less than k if 0 < b < 1 (decay).

Front

Back

The transformation 'down 1' means that the entire graph of the function f(x) is shifted down by 1 unit on the y-axis.

Front

What is the continuous growth rate in exponential growth problems?

Back

The continuous growth rate is the rate at which a quantity grows continuously over time, often expressed as a decimal (r). For example, a 3% growth rate is expressed as r = 0.03.

Front

How do you determine if a graph represents growth or decay?

Back

You can determine if a graph represents growth or decay by examining the base of the exponential function. If the base is greater than 1, it represents growth; if the base is between 0 and 1, it represents decay.

Front

What is the effect of a negative exponent in an exponential function?

Back

Front

Back

The constant 'a' represents the initial value or the y-intercept of the exponential function when x = 0.

Front

How do you graph an exponential function?

Back

To graph an exponential function, identify the y-intercept (when x=0), determine the growth or decay behavior, and plot additional points by substituting values for x.