Verified Answer :

texaschic101

the rate of change is the slope.
f(x) is the same as y...
f(x) = 3x + 9.....y = 3x + 9....and in y = mx + b form, the rate of change(slope) can be found in the m position.

y = mx + b
y = 3x + 9....so the slope or rate of change is 3...not 9...so answer is false

The given statement is false because the rate of change of \(f(x)\) is 3.

Given:

The given statement is "The rate of change of \(f(x)=3x+9\) is 9.

To find:

Whether the given statement is true or false.

Explanation:

The slope intercept form of a linear function is:

\(f(x)=mx+b\)         ...(i)

Where \(m\) is the slope or average rate of change and \(b\) is the \(y\)-intercept.

The given function is:

\(f(x)=3x+9\)         ...(ii)

On comparing (i) and (ii), we get

\(m=3\)

Therefore, the rate of change of \(f(x)\) is 3 and the given statement is false.

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https://brainly.com/question/4482166

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