The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.

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3 years ago

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2f = 8 It’s asking me to find an answer the answers aref = 16f = 10f = 6 f = 4

Naddika [18.5K]

$\begin{gathered} 2f=8 \\ \text{Solving f} \\ f=\frac{8}{2} \\ f=4 \\ \text{The value of f is 4} \end{gathered}$

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1 year ago

On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negat

umka2103 [35]

The rate of change for the interval between 2 and 6 on the x-axis is 3.

Given

On a coordinate plane, a parabola opens up.

Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14).

<h3>What is the rate of change?</h3>

A rate of change defines how one quantity changes in relation to another quantity.

The rate of change for the interval between 2 and 6 on the x-axis is;

$\rm Rate \ of \ change =\dfrac{2-14}{2-6}\\\\Rate \ of \ change =\dfrac{-12}{-4}\\\\Rate \ of \ change =3$

Hence, the rate of change for the interval between 2 and 6 on the x-axis is 3.

To know more about Parabola click the link given below.

brainly.com/question/16549411

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2 years ago