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Type: Multiple-Choice
Category: Functions and Relations
Level: Grade 10
Standards: HSA-REI.D.11
Author: nsharp1
Created: 6 years ago

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Grade 10 Functions and Relations CCSS: HSA-REI.D.11

The functions

$f(x) = 2x^3-6x^2-(23/2)x+18$ and

$g(x) = 1/2 x + 2$ are graphed on the same axes. Which of the following are true statements about the system of equations

$y=f(x), y=g(x) ?$ There may be multiple correct answers.

$(1, 5/2)$ is a solution since it lies on the graph of both functions.
The points $(-1, 43/2), (0, 18),$ and $(2,3)$ are solutions because they lie on the graph of one or the other function.
$(3,7/2)$ is a solution since $g(3)=7/2$ .
The points $(-2,1)$ and $(4,4)$ are solutions since $f(-2)=g(-2)$ and $f(4)=g(4)$ .