Questions: What is the range of this quadratic function?
y y ≤ 2
y y ≤ 6
y y ≥ 6
all real numbers
Submit
Transcript text: What is the range of this quadratic function?
$\{y \mid y \leq 2\}$
$\{y \mid y \leq 6\}$
$\{y \mid y \geq 6\}$
all real numbers
Submit
Solution
Solution Steps
Step 1: Find the vertex
The vertex of the parabola is at (2, 6). Since the parabola opens downward, the y-value of the vertex is the maximum value of the function.
Step 2: Determine the range
The range of the function represents all possible output values (y-values). Since the parabola opens downwards and the maximum value is 6, the range includes all y-values less than or equal to 6.