Question

BRAINLIEST ASAP! PLEASE HELP ME :)

Answer 1

Answer:

$\displaystyle Range: Set-Builder\:Notation → [y|-2 ≤ y] \\ Interval\:Notation → [-2, ∞) \\ \\ Domain: Set-Builder\:Notation → [x|-4 ≤ x] \\ Interval\:Notation → [-4, ∞)$

Explanation:

See above graph

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Answer 2

Answer:

See below

Step-by-step explanation:

1. Graph the function

(a) Create a table containing a few values of x and y

Your function is not linear, so you will have to plot several x,y pairs to get a smooth curve.

I chose x = -4, -2, 0, 2, 4.

$\begin{array}{rr}\mathbf{x} & \mathbf{y}\\-4 & -2.00 \\-2 & -0.59 \\0 & 0.00 \\2 & 0.46 \\4 & 0.83 \\\end{array}$

(b) Draw your axes

They have already given you a blank graph, so you can scale both axes from -5 to +5.

(c) Plot your points

Draw dots at the coordinates of each point ( Fig. 1).

(d) Draw the graph

Draw smooth lines through the points.

You can't draw to the left below x = -4, because that gives you imaginary values for y.  However, you should extend the line to the right edge of the plot area.

Your graph should look like Fig. 2.

2. Range

The range is the spread of the y-values (minimum to maximum distance).

From the graph, the minimum value is -2, and there appears to be no upper limit

$\text{In interval notation, the range is \large \boxed{\mathbf{[-2, \infty)}} }$

2. Domain

The domain is the set of all possible x-values that will make the function work.

We see from the graph that x cannot be less than -4, but there appears to be no upper limit to its value.

$\text{In interval notation, the domain is \large \boxed{\mathbf{[-4, \infty)}} }$