Question

100 POINTS FOR WHOEVER IS RIGHT PLEASE HELP I REALLY NEED HELP

1. A quadratic function is shown on the graph.


(Included below, the one with a curved red line)


What is the range of the function?


x

−2 < x ≤ 3

y

y



2. A linear function is shown on the graph.


(Below, The one with a straight red line going up)


What is the domain of the function?


0 ≤ x ≤ 4

0 < x < 4

y

2 < y < 6


THANK YOU IN ADVANCE :))

Answer 1

1. 0 ≤ y < 9

2. x

Explanation:

Hello!

1.

The range of a function is the set of all y-values in the function. We can look at the range by looking at the horizontal sections that it passes through.

The range of this quadratic function has a minimum y-value of 0, but has a maximum value of 9.

We have to rewrite this as an inequality. If the graph has a solid endpoint, we use a greater than or equal to, or less than or equal to sign (≤ ≥).

If there is a "hole" endpoint, the graph doesn't include that point, so we use a greater than or less than symbol (< >). Since the lowest value is a curve, we always use the ≥ or < symbols.

Write the Inequality

• y ≥ 0
• y < 9
• 0 ≤ y < 9

2.

The domain of a function is the set of all x-values in the function. We can look at the domain by looking at the vertical sections that it passes through.

The domain of this function has a minimum x-value of 0, but has a maximum value of 4.

Use the same rules as for the range, but flip the variable from y to x.

Write the Inequality

• x ≥ 0
• x ≤ 4
• x