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tia_tia [17]
3 years ago
8

What is f(-4) for the function f? f(x) = 2x + 3

Mathematics
2 answers:
geniusboy [140]3 years ago
8 0

Answer: f(-4) = -5

Step-by-step explanation: Here we're given the function

f(x) = 2x + 3 and we're asked to find f(-4).

In other words, if we put a x into our function, we get a 2x + 3 out.

So what happens when we put a -4 into the function?

Well if we put a -4 into the function, that's f(-4), we get a 2(-4) + 3 out.

Now all we have to do is simplify on the right side.

2(-4) is -8 so we have -8 + 3 which is -5.

So f(-4) is -5.

Kryger [21]3 years ago
3 0

Answer:

\Huge \boxed{{f(-4)=-5}}

Step-by-step explanation:

The function f(x) is given.

f(x) = 2x + 3

f(-4)

The input for the function f(x) is -4.

x is the input value.

x = -4

Replace x with -4.

f(-4) = 2(-4) + 3

Solve for the brackets.

f(-4) = -8 + 3

Evaluate.

f(-4) = -5

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Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.

<u>The parent modulus function is:</u>

g(x) = |x|

It is centered at the origin and opens upwards.

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If "k" is <u>positive</u>, the shift will be to the <u>left</u>. If "k" is <u>negative</u>, the shift will be to the <u>right</u>.

A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis

If "h" is <u>positive</u>, the shift will be <u>upwards</u>. If "h" is <u>negative,</u> the shift will be <u>downwards</u>.

<u>Now, let's check each of the options:</u>

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This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.

<u>g(x) = |x-4| - 2 :</u>

This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.

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This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.

<u>g(x) = |x-2| + 4 :</u>

This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.

All 4 graphs are shown in the attached picture.

Hope this helps :)


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