STEP FUNCTIONS

Question

CONSIDER THE STEP FUNCTION GIVEN BY F(X) = {5   0 less than equal to x less than 4

                                                                          1   4 less than equal to x less than 8

                                                                         -3   8 less than equal to x less than equal to 12, which actually does a half-way decent job of modeling downward steps?

 

a.  Graph f(x) on the grid provided

 

b.  State the range of this function

 

 

c.  Does f(x) have any zeroes?  Explain

 

 

 

 

                                                                           

 

Answer 1

b. range of this function is {-3, 1, 5}

c. this function has no zeros because the output value f(x) is only a number from the range, and there is no 0 in the range set.