Mrs. Cora Daniel PhD
Feb 13, 2025
Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?
Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)? The graph represents the function f(x) = 2x + 1 and the function g(x) = x³ + 2x² - x - 2.
A) One
B) Two
C) Three
D) Four
Thank you for your assistance!
2 Answers
.
If you plot the graphs of the two functions, onto common axes, then the solutions for f(x) = g(x) will be the points at which the two graphs intersect one another.
Refer to the graphs in the image below
( as plotted by Wolfram Alpha ), where it is evident that the blue linear curve intersects the red cubic curve at three points.
So you should select Answer: “… C) three …” .
.
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