Question

Which graph represents the function f(x) = |x|? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answer 1

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is,

It is a modulus function and its parent function is,

In a function,

If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.

Since k is , therefore the shoes the vertical compression.

put x=0 in the given function.

Put x=3.

Therefore the graph passing through (0,0) and (3,1).

So the  fourth option is correct.

Hope this helps :)

Answer 2

The graph represents the function f(x) = |x| correct option is fourth image 4.

The given function is,

It is a modulus function and its parent function is,

In a function,

If k>1, then the graph of g(x) stretches vertically, and if k<1 then the graph of g(x) is compressed vertically.

Since k is, therefore the shoes the vertical compression.

What is vertical compression?

Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something less than 1. Horizontal stretching means making the x-value bigger for any given value of y, and you can do it by multiplying x by a fraction before any other operations.

put x=0 in the given function.

Put x=3.

Therefore the graph passes through (0,0) and (3,1).

So the fourth option is correct.

To learn more about the graph of function visit:

https://brainly.com/question/4025726

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