Explain why f(x) = x^2-x-6/x^2-9 is not continuous at x = 3.

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Step-by-step explanation:

Given

Required

Why is the function not continuous at x = 3

First substitute 3 for x at the denominator

Factorize the numerator and the denominator

Divide the numerator and denominator by (x - 3)

Substitute 3 for x

Because is defined when x = 3;

Then the function is continuous

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: