Question

Use the graph to determine a. the function's domain; b. the function's range, c. the x-intercepts, if any, d.

Answer 1

From the graph of the function, we have that:

a. The domain is all real values of x.

b. The range is y ≥ -4.

c. The x-intercepts are (-3,0) and (1,0).

d. The y-intercept is (0,-3).

e. f(-2) = -3, f(2) = 5.

What are the domain and the range of a function?

• The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x.

• The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y.

Hence, from the graph, we have that:

a. The domain is all real values of x.

b. The range is y ≥ -4.

What are the x-intercepts of a function?

The x-intercepts of a function are the values of x when f(x) = 0, that is, the points in which the function intersects the x-axis.

Hence, for this problem:

The x-intercepts are (-3,0) and (1,0).

What is the y-intercept of a function?

The x-intercepts of a function are the values of f(x) when x = 0, that is, the points in which the function intersects the y-axis.

Hence, for this problem:

The y-intercept is (0,-3).

What are the numeric values at x = -2 and at x = 2.

From the graph, we have that:

• When x = -2, f(x) = -3.

• When x = 2, f(x) = 5.

Hence:

f(-2) = -3, f(2) = 5.

More can be learned about functions at brainly.com/question/24808124

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