The table and equation shown below each represent a different linear equation Function 1: (the table)

Function 2: y = 5x + 20

Decide if each statement below is true.

A. The sum of the rates of change for both functions is 8.
B. The functions have the same value when x = 5.
C. Function 1 and Function 2 have the same rate of change.

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step-by-step explanation:

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(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.

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step-by-step explanation: