Question

HI PLS HELP!!
Examine the function y=g (x) graphed.

a) which x-values have points on the graph?

b) what are the possible outputs for g (x) ?

c) Ricky thinks the range of g is -1 , 0, 1, 2, and 3. Is he correct? Why or why not?

d) Sketch the graph of another function with the same domain and range as g.

Answer 1

a) the x-values on the graph are [-2, 4].

 all the x-values of the graph are the Domain of the function of the graph. they are found by projecting the graph to the x-axis. check the yellow line in the first picture.

b) all the possible outputs of g are [-1, 3]. 

all the possible outputs of g, are the Range of g. These are found by projecting the graph to the y-axis. check the red line in the second picture.

c) -1 , 0, 1, 2, and 3 are only a few values in the Range. The range is [-1, 3].

d) we will sketch a graph whose domain is  [-2, 4] and range is [-1, 3]. check picture 3