Question

For the function f(x) = -1/2x -7,a) Evaluate the function for the following Domain:{-2,0,6}.b) Is this function linear or quadratic? Justify your answer.c) Will the graph of this function appear as a line or a parabola?

Answer 1

a) Evaluating the given function on the domain {-2,0,6} we get:

`\begin{gathered} f(-2)=-(1)/(2)(-2)-7=1-7=-6 \\ f(0)=-(1)/(2)(0)-7=0-7=-7 \\ f(6)=-(1)/(2)(6)-7=-3-7=-10 \end{gathered}`

b) Notice that the given function has the form:

`y=mx+b`

Therefore, f(x) is a linear function.

c) From the previous point we know that f(x) is a linear function therefore its graph is a line.