Questions: What is the range of this quadratic function?

Transcript text: What is the range of this quadratic function?

Solution

Step 1: Identify the vertex of the quadratic function

The vertex of the quadratic function is the highest point on the graph. From the graph, the vertex is at (0, -3).

Step 2: Determine the direction of the parabola

The parabola opens downwards, as indicated by the shape of the graph.

Step 3: Establish the range of the function

Since the parabola opens downwards and the vertex is at (0, -3), the range of the function includes all y-values less than or equal to -3.

The range of the quadratic function is \(\{ y \mid y \leq -3 \}\).

Was this solution helpful?

Unhelpful

Helpful