For the following exercises, use the graphs shown in Figure 13. All have the form f(x) = abx . Which graph has the largest value for a?

For the following exercises, use the graphs shown in Figure 13. All have the form f(x) = abx .

Which graph has the largest value for a?

Expert Solution

Consider the exponential formula;

f(x) = abx

Where “a” is the initial value and “a” determines the y-intercept of the graph. And “b” determines whether the exponential function decrease or increase.

If 0 < b < 0, then;

The function shows exponential decay, that is, the graph decreases.

If b > 1, then;

The function shows exponential growth, that is, the graph increases.

The graph which has the largest value of “a” is determined as follows:

The graph that starts from positive x-axis and increase towards the negative x-axis are said to have larger value of “a”.

From the figure only the graph C starts from positive x-axis and increase towards the negative x-axis.

Hence, the graph C has largest value for “a”.

Hafiz answered 11 months ago

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