Answer:
A. (1, -1)
B. (1, -1), (2, 0)
C. x = 0
Step-by-step explanation:
A graph is a plot of all the points that are solutions to an equation.
<u>Part A</u>:
A point will be a solution to two equations if it is a point of intersection of their graphs. The one point that is a solution to both p(x) and g(x) is the one point where their graphs intersect: the red and blue lines cross at (1, -1).
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<u>Part B</u>:
<em>Any other point on the graph p(x)</em> will be another solution of it. One that is near to the point of intersection with g(x) is the point where p(x) crosses the x-axis: (2, 0). Of course, the solution listed in Part A is also a solution to p(x).
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<u>Part C</u>:
The point where the graph of g(x) crosses the graph of f(x) is (0, 3). The x-value that makes g(x) = f(x) is x=0. That is the solution to this equation. (We don't really care what the values of f(0) and g(0) are--just that they are equal.)
