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The graph of the piecewise function f(x) is shown.
What is the range of f(x)?
A || {x | −2 ≤ x < 4}
B || {x | −2 < x ≤ 4}
C || {y | −5 < y < −1}
D || {y | −5 ≤ y ≤ −1}

The graph of the piecewise function fx is shown What is the range of fx A x 2 x lt 4 B x 2 lt x 4 C y 5 lt y lt 1 D y 5 y 1 class=

Respuesta :

1. The range of a function is the set of all values that f can produce for all the x-es in the domain.

2. If we are given the graph, in order to find the range, we project the graph into the y axis. Informally, we draw the "shadow" of the graph into the y axis as in the FIGURE atached.

3. The range is D || {y | −5 ≤ y ≤ −1}
Ver imagen eco92

Range of a function is the set of all the possible output values which are valid for that function.

The range of the given function in the graph is

|| {[tex]{y | -5 \leq y \leq -1}[/tex]}

Thus the option D is the correct option.

What is the range of the function?

Range of a function is the set of all the possible output values which are valid for that function.

Given information-

In the given graph of the piece wise function [tex]f(x)[/tex] is shown.

  • The first graph if from the point (-2,-5) to (2,-1).
  • The second graph if from the point (2,-1) to (4,-2).

  • Thus, the value of x ranges from point, -2 to 4.
  • The value of y ranges from the point -5 to -1.

The range of the function is that [tex]f(x)[/tex]  produce as the set of all the values [tex]x[/tex] in the domain.

Hence the range of the given function in the graph is

|| {[tex]{y | -5 \leq y \leq -1}[/tex]}

Thus the option D is the correct option.

Learn more about the range of the function here;

https://brainly.com/question/2264373

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