Question

Problem:

A non-linear system consists of two functions: Complete the following three parts.

Make a table of values for the functions. The table can be similar to the one below, or it can be vertical, but it must have a minimum of five x-values and the corresponding function values. Using your table indicate the solution to the system by marking the function values that are equal.

x
f(x)
g(x)

Plot a graph of the functions over an interval sufficient to show the solution set. Clearly indicate and label on the graph the x and y values of the solution(s).

Solve the system algebraically. (Hint: set the two functions equal to each other.) You should obtain a quadratic equation. Solve it either by factoring or using the quadratic formula. Give the x-values of the solution set, then evaluate the function to find the corresponding y-values. Give the results as ordered pairs of exact values.

Answer 1