Question

can you help me solve thea. domainb. rangec.f(-3)d. the values of x for which f(x) =-2e. the point where the graph of f crosses the x-axisf. the point where the graph of f crosses the y-axisg. values of x for which f(x) < 0h. Is f(-8) positive or negative?

Answer 1

We are given a function and his graph and we are asked the following:

a. The domain of the function: The domain is the values of "x" that the function takes, in this case, we can represent that mathematically as follows:

`D(f(x))=\lbrace x\parallel-2\le x\le6\rbrace`

b. The range of the function: the range is the values the dependent variable takes, in this case, the values of "y", we can represent this as follows:

`R(f(x))=\lbrace y\parallel-2\le y\le6\rbrace`

c. f(-3) is the value the function takes when x=-3, from the graph we can see that this value is outside of the domain, therefore, it is undefined for this function

d. the values of x for which f(x) = -2, we can see from the graph that the only value of x that yields -2 is x = 6

e. the point where the graph of f crosses the x-axis. We can see from the graph that the function crosses the x-axis at x = 4

f. the point where the graph of f crosses the y-axis. We can see from the graph that the function crosses the y-axis ath y = 4

g. values of x for which f(x) < 0. From the graph we can look for the values of "x" where "y" is a negative number, those values can be represented mathematically as follows:

[tex]4

It should be noted that the value at x =4 is not included, since the function yields zero at that point

h. Is f(-8) positive or negative?: The point x=-8 is outside the domain of the equation, therefore is undefined