The solutions to the equation f(x) = g(x) are -2 and 1. Iff and g are graphed on the same coordinate plane, which statement must be true?
The functions will intersect at x = -2 and x = 1.
The functions will intersect at y = -2 and y = 1.
Both functions will have y-intercepts at 2 and 1.
Both functions will have x-intercepts at -2 and 1.

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Answer:

The correct option is;

The function will intersect at x = -2 and x = 1

Step-by-step explanation:

The question parameters are

The functions in the question are f(x) and g(x)

The solution to the equation f(x) = g(x) are -2, and 1

Given that the equations, f(x) and g(x), are both given in values of x, their solution will be the x values that satisfies both functions

Therefore, the functions will intersect (have the same values of f(x) and g(x)) at the points of the solutions, which are given as x = -2, and x = 1

The statement that should be true is the function will intersect at x = -2 and x = 1.

Given that,

  • The solutions to the equation f(x) = g(x) are -2 and 1.
  • If f and g are graphed on the same coordinate plane.

Based on the above information, the following information should be considered:

  • As the solutions represent x values that satisfied the both functions.
  • Also, the functions should intersect that contains the same value i.e. x = -2 and x = 1.

Therefore, we can conclude that the first option is correct.

Learn more: brainly.com/question/24169758

 

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