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Stels [109]
3 years ago
5

Please sketch graph of the function f(x) = |x+2|.

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

The absolute value can be graphed using the points around the vertex (-2, 0), (-4, 2), (-3, 1), (-1, 1), (0, 2).

Step-by-step explanation:

The find the x coordinate of the vertex, set the inside of the absolute value x + 2 equal to 0. In this case, x + 2 = 0.

x + 2 = 0

Subtract 2 from both sides of the equation.

x = -2

Replace the variable x with -2 in the expression.

y = |(-2) + 2|

The absolute value vertex is (-2, 0).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

For each x value, there is on y value. Select few z values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

Substitute the x value -4 into f(x) = |x+2|. In this case, the point is (-4,2).

y=2

Substitute the x value -3 into f(x) = |x+2|. In this case, the point is (-3,1).

y=1

Substitute the x value 0 into f(x) = |x+2|. In this case, the point is (0,2).

y=2

You can find the graph in the attachment.

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3 0
3 years ago
Read 2 more answers
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wariber [46]
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3 years ago
Today, the mailman sorted 57 letters during his first hour of work, 69 letters during his second hour, 81 letters during his thi
mars1129 [50]
The answer is 93 

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5 0
3 years ago
Y=-×+1 and y=2×+4 how many solutions when graphed
dedylja [7]

Answer:

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Step-by-step explanation:

Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.

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Now plug that value back into one of the equations:

y = -x + 1

y = -(-1) + 1

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So now you know the crossing for these two equations occurs at (-1,2).

Cheers.

3 0
3 years ago
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