How do the average rates of change for the functions f(x) = 2x2 and g(x) = 3x2 over the interval −3 ≤ x ≤ 4 compare?

The average rate of change for function f(x) over the interval a ≤ x ≤ b is given by :-

So, the rate of change for function  over the interval −3 ≤ x ≤ 4 :

The rate of change for function  over the interval −3 ≤ x ≤ 4 :

So, the rate of change for  g(x) is greater than f(x) over the interval −3 ≤ x ≤ 4.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

is it 35

step-by-step explanation: