Question

How does h(x)=-2x+5 change over the interval from x=1 to x=2?

Answer 1

As the rate of change of function is negative from x=1 to x=2, the function decreases at this interval.

Step-by-step explanation:

We have to find the rate of change of the function

The rate of change of function is given by:

$Rate\ of\ change = \frac{h(b)-h(a)}{b-a}$

Given function is:

$h(x) = -2x+5$

Here

a =1

b = 2

So,

$h(2) = -2(2) +5\\= -4+5\\= 1\\h(1) = -2(1) +5\\= -2+5\\= 3$

Putting the values in the formula

$Rate\ of\ change = \frac{1-3}{2-1} = -2$

As the rate of change of function is negative from x=1 to x=2, the function decreases at this interval.

Keywords: Functions, rate of change

Learn more about functions at:

• brainly.com/question/9323337
• brainly.com/question/9381080

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