Question

What is the range of the absolute value function below? mc009-1.jpg f(x) mc009-2.jpg –4 f(x) mc009-3.jpg –1 f(x) mc009-4.jpg 1 f(x) mc009-5.jpg 4

Answer 1

Attached is a screenshot with the question

Answer:

(c) f(x) ≤ 1

Explanation:

The range of a certain function is defined as the y-values of the function

Now, taking a look at the given graph, we can note that the values of y start from 1 and extend to -∞

This means that the range of the function is from 1 till -∞

Writing this as an inequality, we will end up with:

f(x) ≤ 1

Hope this helps :)

Answer 2

Concept:

Since we have absolute signs, we must get only positive values by register audition any positive and negative values for x in the given function. So, the range of independent values is $[0]$

Given:

We need to find what is the range of the absolute value function.

Solution:

(c) f(x) ≤ 1

The range of a certain function is defined as the y-values of the function Now, taking a look at the given graph, we can note that the values of y start from 1 and extend to -∞

It means that the range of the outcome is from 1 till -∞

communicate this as an inequality, we will end up with:

Hence, the correct answer is f(x) ≤ 1.

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