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3241004551 [841]
2 years ago
8

Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6

Mathematics
1 answer:
madam [21]2 years ago
8 0

Answer:

Finding the Average Rate of Change of a Function

To find the average rate of change, we divide the change in the output value by the change in the input value. The Greek letterΔ (delta) signifies the change in a quantity; we read the ratio as “delta-y over delta-x” or “the change iny divided by the change inx.

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Work out the equation of a line which has a gradient of 2 and passes through the line (1, 4).
KATRIN_1 [288]

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

We have given that,

A line that has a gradient of 2 and passes through the line (1, 4).

We have to determine the equation of the line,

<h3>What is the gradient?</h3>

The gradient also known as the slope is the defined as

Gradient (m) = change in y coordinate / change in x coordinate

The equation of a line passing through a given point is given by the following equation

y – y₁ = m(x – x₁)

How to determine the equation of the line passing through point (1,4)

x coordinate (x₁) = 1

y coordinate (y₁) = 4

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Equation =

y – y₁ = m(x – x₁)

y – 4 = 2(x – 1)

Clear bracket

y – 4 = 2x – 2

Make y the subject by adding 4 to both sides

y – 4 + 4 = 2x – 2 + 4

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The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

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brainly.com/question/5396646

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