Questions: What is the range of this quadratic function? y y ≤ 2 y y ≤ 6 y y ≥ 6 all real numbers Submit

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
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Solution

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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.

Final Answer: {y|y ≤ 6}

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