piecewise function f (x) is defined by f of x is equal to the piecewise function of 3 to the power of the quantity x plus 1 end quantity minus 2 for x is less than or equal to 1 and the quantity 7 over x for x is greater than 1
Part A: Based on the graph of f (x), what is the range? (5 points)

Part B: Determine the asymptotes of f (x). (5 points)

Part C: Describe the end behavior of f (x). (5 points)

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shashankvt shashankvt · Answer 1 · 2022-11-18T05:39:00+01:00

Part A : Based on the graph of the function range is (- ∞, ∞).

Part B :The horizontal asymptote of f(x) is is f(x) = - 2.

Part C :The end behavior of the function f(x) is it going towards negative and positive infinity.

A function that is piecewise-defined by numerous subfunctions, each of which has a separate domain interval for which it is applicable.

Piecewise definition is more of an expression of the function than it is a property of the function.

Given, A piecewise function f(x) = [tex]3^{x + 1} - 2[/tex], ∀ x ≤ 1 and f(x) = (7/x), ∀ x > 1.

Based on the graph of the function range is (- ∞, ∞).

The horizontal asymptote of f(x) is is f(x) = - 2.

The end behavior of the function f(x) is it going towards negative and positive infinity.

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