Question

PLZ HELP!
What is the domain and range for the function graphed to
the left?

Answer 1

Step-by-step explanation: The range of a function

is the set of all y values of the function.

The y values on a coordinate system are the up and down values.

Our parabola is expanding infinitely downwards but

it never goes above the y value of -3.

So we say that the range of this function is {y: y ≤ -3}.

The domain is the set of all x values or left and right values.

Since it's expanding infinitely to the left and right,

we say that the domain is the set of all real numbers or R.

Answer 2

Domain: (-∞, ∞)

Range: (-∞, -3]

General Formulas and Concepts:

Algebra I

• Domain is the set of x-values that can be inputted into function f(x)
• Range is the set of y-values that are outputted by function f(x)

Explanation:

We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.

We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.