<h2>
Explanation:</h2><h2>
</h2>
Here you haven't provided any function, so I'll assume this one:

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

Therefore:

Therefore, the vertex is:

The average rates of change of f(x) and their corresponding intervals are given as:
Interval Rate of Change
[-5, -1] -8
[-4, -1] -7
[-3, 1] -4
[-2, 1] -3.
<h3>What is the explanation for the above?
</h3>
Step 1 - See Table Attached
Step 2 - State the formula for rate of change
The formula for rate of change is given as:
= [change in f(x)] / [change in x]
a) For interval [5, -1] ⇒
Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]
= [-1 - 35] / [-1+5]
= -36 / 4
= - 8
b) For interval [-4, -1] ⇒
rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]
= [3 - 24] / [-1 + 4]
= -21/3
= - 7
c) interval [-3,1] ⇒
rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]
= [-1 - 15] / [1 + 3]
= -16/4
= - 4
d) interval [-2,1] ⇒
rate of change = [f (1) - f(-2)] / [1 - (-2)]
= [ -1 - 8] / [1 + 2]
= -9/3
= -3
Learn more about rate of change at:
brainly.com/question/25184007
#SPJ1
Answer:
25.92
Step-by-step explanation:
Answer:
1) -4 2)-3 3) -2 4) -1 5) 0
Step-by-step explanation:
The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.
The equation for this problem is:
2x+8=26
the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:
2x=18
after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:
x=9
Max is 9 years old.