What are the domain and range of the graph? Is the graph a function? Explain.

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

Domain: -3 < x <2

Range: -4 < y < 5

Is the graph a function? No the graph isn't not, since the graph fails the vertical line test

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Lou made $24 mowing lawns. David made twice as much as Lou mowing lawns, and then David made another $16 from washing windows. W

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Step-by-step explanation:

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Find ( f - g)(x). f (x) = -2x2 - 2x - 3 and g(x) = 3x2 - 4x - 4

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Answer:

$\large\boxed{(f-g)(x)=-5x^2+2x+1}$

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$(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1$

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3 years ago

He graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Molodets [167]

The domain of the function is all real numbers, the range of a function is y ≤ 4

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = –(x + 6)(x + 2)

If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.

Here the no other details are given.

But we can say: