Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing: Intervals of decreasing: Given f(x) r)s x23,x 2-2 Find the following...

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Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing:

math precalculus

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Answer 1

Answer #1

The given function is a Piecewise function

Since Domain of f(x) = 2x-3 is x < -2 and the Domain of f(x) = x² - 3 is x >= -2

Domain: -∞ < x < ∞ , in Interval Notation Domain : ( -∞,∞)

Range: f(x) < -7 and f(x) > 3 , , in Interval Notation Range : ( -∞,-7) U [-3,∞)

The Graph of f(x) is displayed below:

5 2 ○ 1 (0-3) Label. 10 o (-2-7) (0, 3) Label ﹀ Label. 2 -10 -15

From the graph we notice that the

Relative Max : ( -2, 1)

Relative Min : ( 0, -3)

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Answer 2

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Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing: Intervals of decreasing: Given f(x) r)s x23,x 2-2 Find the following...

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Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing: Intervals of decreasing: Given f(x) r)s x23,x 2-2 Find the following...