Question 1:Find the Domain and Range for the following functions

Question 1: find the domain of this function whose graph is given above ?

Understand the domain of a function represents all possible input values (x-values) that can be used in the function. For a quadratic function like this one, there is no restriction on x-values, meaning the graph extends infinitely to the left and right.

In interval notation, the domain is (-∞, ∞)..

Understanding the Range:

The range of a function refers to all possible output values (y-values). For an upward-opening parabola, the lowest point is the vertex of the parabola. From the vertex, the graph extends upward infinitely.

The vertex (minimum point) appears to be at y = -1.

Since the parabola opens upward, the range is all y-values greater than or equal to -1.

In interval notation, the range is [-1, ∞)..