Question

Give the graph below Part A) f(0)= Part B) f(-1) =Part C) Domain and Range

Answer 1

Given the graph below:

(A) From the graph f(0) is the value of y at point 0

`f(0)=-3`

(B) From the graph f(-1) is the value of y at point -1

`f(-1)=-1`

To find the domain and range, we simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain. To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y).

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

(C) Domain:

`(-\infty,\infty)`

(D) Range:

`(-\infty,3)`