For the graphed exponential equation, calculate the average rate of change from x = 0 to x = 1.

The average rate of change from x = 0 to x = 1 is 4.

Step-by-step explanation:

From the given graph it is noticed that the value of the function f(x) is -1 at x=0 and the value of the function is 3 at x=1.

The average rate of change of a function from x₁ and x₂ is

Therefore the average rate of change from x = 0 to x = 1 is 4.

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answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

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