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Vlad [161]
3 years ago
9

The absolute value function, f(x) = |x + 2|, is shown. What is the domain of the function?

Mathematics
1 answer:
alekssr [168]3 years ago
8 0
The domain is:
(-infinity, infinity)
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Answer:


Step-by-step explanation:

So let's find the equation of the line for f(x). We know the y-intercept, also known as b in the equation of the line for f(x), is 3. (b = y-intercept = 3)

y = mx + <u>b</u>

y = mx + <u>3</u>

Now, to find the slope you must use the formula of...

(y₂ - y₁) / (x₂ - x₁)

We have two points of the line already shown. We will now use the formula to find out the slope.

(3 - 1) / (0 - 1) = 2 / -1 = -2, the slope is -2. (m = slope = -2)

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y = <u>-2</u>x + 3

Now check the following statements and see which ones are true.

A is <em>not </em>a true statement.

B is <em>not </em>a true statement because a slope of -6 is steeper than -2. The negative slope only changes the direction of the line.

C is <em>not </em>a true statement because the slope of f(x) is not undefined.

D <u>is</u> a true statement because the line of f(x) is less steep than the slope of g(x).

KEEP IN MIND THE SLOPE IS M IN THE EQUATION OF A LINE.


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