Question

A graph of 2 functions is shown below.

graph of function f of x equals negative 2 multiplied by x plus 3 and graph of function g of x equals x cubed plus 4 multiplied by x squared minus x minus 4

Which of the following is an approximate solution for f(x) = g(x)?

x = 1
x = −1
x = −4
x = 2

Answer 1

Option A. x = 1

Explanation:

Approximate solution for f(x) = g(x) are the points where these functions have the common points or points of intersection.

From the graph attached point of intersections are (-2.5, 0) and (1, 0).

In the given options x = 1 is the only solution while x = -2.5 is not given.

Therefore, x = 1 is the approximate solution.

Option A. x = 1 is the correct option.

Answer 2

x = 1

Explanation:

The approximate solutions to f(x) = g(x) is where the two graphs intersect. It appears the meet at just past x=1 and around x=-2.5

The questions asks for an approximate solution, so it is only asking for one of the solutions.