Question

Please help.

Match the graph of the function with the function rule.

Answer 1

The exponential function represented on the graph is defined by the following rule:

$y = 3 \times 2^x$

What is an exponential function?

An exponential function is modeled by:

$y = ab^x$

In which:

• a is the initial value, which is also the y-intercept, that is, the value of y when x = 0.

• b is the rate of change.

From the graph, we get that when x = 0, y = 3, hence the initial value is of a = 3. Then the temporary definition is:

$y = 3b^x$

Also from the graph, when x = 1, y = 6, hence we can apply to the definition to find b.

$6 = 3b^1$

3b = 6

b = 2.

Hence the function is:

$y = 3 \times 2^x$

More can be learned about exponential functions at https://brainly.com/question/25537936

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