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determine the domain on which the following function is increasing

Question

determine the domain on which the following function is increasing

Explanation:

Step1: Identify vertex of parabola

The parabola has its vertex at $x=2$.

Step2: Determine increasing interval

For a right-opening upward parabola, the function increases when $x$ is greater than the vertex's $x$-value.

Answer:

$x > 2$ or in interval notation: $(2, \infty)$