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I need help with everything I'm mostly confused about the points after h I'm not sure how to find them

I need help with everything I'm mostly confused about the points after h I'm not sure-example-1
User Abel Pastur
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3.1k points

1 Answer

15 votes
15 votes

From the graph given in the question, we are asked to determine the following observing the graph:

(a) The domain of f.

Domain of f = IR = (-infinity, infinity)

(Therefore, it is defined all reals).

(b) The range of f.

The range of f = [-1, infinity)

(c) The x-intercepts.

x = 2 and x = 4 are the x intercepts.

(d) The y-intercepts.

y = 8 is the only y-intercept.

(e) Intervals on which f is increasing.

The function is increasing on (3, infinity)

(f) Intervals on which f is decreasing.

The function f is decreasing on (0, 3)

User Vladimir Salguero
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2.6k points