Question

PLEASE HELP!

Part A: What is the solution to the pair of equations represented by p(x)

and f(x)?


Part B: Write any two solutions for f(x).


Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.

Answer 1

• A. x = -2
• B. (-2, -3), (-3, -1)
• C. x = 0

Explanation:

Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.

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Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...

... (-2, -3) and (-3, -1)

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Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means

... p(0) = g(0) = 2

So, x = 0 is the solution to the equation p(x) = g(x).