Question

I’m not entirely sure how this works. Would the domain, for example, be (500,200)?

Answer 1

DOMAIN

The domain of a function refers to the set of all points over which a function is defined. This is is the set of input values, x, for which a function is defined.

The domain of the graph provided is from x = -10 to x = 25. Since the end at -10 is closed and the end at 25 is open, we have the domain to be:

$\lbrack-10,25)$

RANGE

The range of a function refers to the set of values the function takes on as output. These are the y-values of the function.

From the graph provided, the range of the graph is from y = -200 to y = 500. Since the end at -200 is open and the end at 500 is closed, we have the range to be:

$(-200,500\rbrack$

f(0)

This is the value of the function at x = 0. This value is seen to be 300.

Therefore,

$f(0)=300$

f(x) = 0

This is the x-value corresponding to the output being 0. This is at 15.

Therefore,

$x=15$