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:
[tex]Rate\ of\ change = \frac{h(b)-h(a)}{b-a}[/tex]
Given function is:
[tex]h(x) = -2x+5[/tex]
Here
a =1
b = 2
So,
[tex]h(2) = -2(2) +5\\= -4+5\\= 1\\h(1) = -2(1) +5\\= -2+5\\= 3[/tex]
Putting the values in the formula
[tex]Rate\ of\ change = \frac{1-3}{2-1} = -2[/tex]
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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