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The graph of g(x) is shown. On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 4, 4) and goes down to a closed circle at (negative 1, 1). The second line has a closed circle at (0, 1) and goes do to an open circle at (3, negative 1). Which statements describe the domain and range of g(x)? Select two options. The function g(x) is defined for all real numbers x. The maximum value of the range is 4. The maximum value of the domain is 3. The range of g(x) is {y| –1 < y ≤ 4}. The domain of g(x) is {x| –4 < x ≤ 3}.

Respuesta :

washingtonha

Answer:

The maximum value of range is 4

The range of g(x) is y|-1 < y < 4

Step-by-step explanation:

MrRoyal

The true statements about the graph of g(x) are:

  • B. The maximum value of range is 4
  • D. The range of g(x) is y|-1 < y ≤ 4

How to determine the true statements?

From the question, the given parameters are:

First line: [-4,4] to [-1,1]

Second line: [0,1] to (3,-1)

The values at the closed points are inclusive of the function, while the values at the open points are exclusive.

From the lines, the y values are given as:

First line = {4, 1}

Second line = {1} and -1 ---- -1 is inclusive

The maximum y value is in the first line i.e. 4

This means that the maximum value of range is 4

Using the points on the line, we have the range to be:

-1 < y ≤ 4

Hence, the true statements about the graph of g(x) are: (b) The maximum value of range is 4 and (d) The range of g(x) is y|-1 < y ≤ 4

Read more about piecewise functions at:

https://brainly.com/question/11827078

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