Which function below has the smallest slope? f(x) f(x) = 2x − 3 g(x) graph going through (0, negative 5) and (4, 3) h(x) x h(x) −1 3 1 7 3 11

QUESTION POSTED AT 01/06/2020 - 03:59 PM

Answered by admin AT 01/06/2020 - 03:59 PM

We have three functions:


FIRST.

f(x)=2x-3

The slope of f(x) is 2


SECOND.

g(x) graph going through (0, -5) and (4, 3), so:


We can find the slope of g(x) as follows:

m=\frac{3-(-5)}{4-0}=\frac{8}{4}=2


The slope of g(x) is 2


THIRD.

h(x) passes through (-1, 3), (1, 7) and (3, 11)


We can find the slope of h(x) as follows:

Using \ points \ (-1, 3) \ and \ (1, 7) \\ \\ m=\frac{7-3}{1-(-1)}=\frac{4}{2}=2


The slope of h(x) is 2


So, it is obvious that the three functions have the same slope 2.

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