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

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Simone sketches the functions

$f(x) = x^3 + 4x^2 + 2x - 9$ and

$g(x) = e^(x-5) - 7.$ She sees that one of the intersection points occurs between

$x=-4$ and

$x=-2.$ She also notices that, near this intersection point, to the left of the intersection point,

$f(x)$ is below

$g(x)$ on the graph, and to the right of the intersection point

$f(x)$ is above

$g(x)$ .

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

Given the values of the functions at

$x=-3$ , and the relative values of

$f(x)$ and

$g(x)$ near this point, should Simone choose a value greater than or less than

$x=-3$ to get a more precise value of the point of intersection?

Neither, $x=-3$ is the point of intersection.
Less than, since $f(-3) > g(-3)$ .
Greater than, since $f(-3) > g(-3)$ .
Either, since it is still just an approximation.