Question

Graphs of functions on the interval [−4, 4] are depicted below. For each function, find:

Answer 1

Answer:

a) The domain is the set of the possible values of x.

In the graph, we can see that x goes from - 4 to 4

So the domain is: D = x∈ {-4, 4)

b) The zeros are the points where the graph cuts the x-axis.

Those values are:

x = -2

x = 0

x = 2.

c) The graph is positive if it is above the x-axis and it is negative if it is below the x-axis.

in the interval {-4,0} the graph is bellow the x-axis, so in this interval the function is negative.

in the interval {0, 2} the graph is above the x-axis, so in this interval the function is positive.

in the interval {2, 4} the graph is bellow the x-axis, so in this interval the function is negative.