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:

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

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.