On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0

Domain of the given function is all real numbers i.e. R.

Step-by-step explanation:

It is given that the given graph is a V shaped graph.

It is crossing x - axis at

then y-axis at and

then again x - axis at .

If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at , then intersects y axis at  and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at .

Please find attached graph for the same.

This graph denotes the following function:

Domain of a function is the values of that can be provided to the function.

Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.

Modulus function has R as its domain.

So, the answer is:

Domain of given function is all Real Numbers, R

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).