Question

The graph of the function y = | x | + 3 is shown. What is its range?

A) y > 3

B) y < 3

C) y ≥ 3

D) y ≤ 3

Answer 1

C) y≥3

Explanation:

The vertex of the graph is (0,3) and opens up from there including all values greater than 3. This is why the answer is y ≥ 3.

Answer 2

Hi there!

To get an idea, graph the function using an application such as Desmos.
The range tells you what values of y the graph may be. Looking at the graph, we see that y can be a value of 3 or larger (look at the y-intercept, which is the vertical line, and find the lowest point in comparison to the vertical line if the graph has a minimum. If it has a maximum, do the opposite).

`\geqslant`
Means greater than or equal to.
Therefore, the answer is C, which means y is greater than or equal to 3.

Hope this helps!