Which function could represent the data in the table below?

Question

x-    -5     0    2    5

f(x)- -2    3     5    8

 

 

a) f(x)= -2

b) f(x)= x-3

c) f(x)= x+3

d) f(x)= 2x+1

Answer 1

We can eliminate choice (a), since not every value of f(x) is the same. 

 

The y-intercept has the coordinate (0, y).  We can eliminate choice (d) because if we plug in x=0, f(x) will be 1.  We need he y-intercept to be (0, 3).

 

 

We now only have choice (b) and (c).  The only function that has the y-intercept (0, 3) is  f(x) = x + 3

 

 

Your answer is (c).