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

The functions

$f(x) = e^x+1$ and

$g(x) = (x^2-3)/(x+2)$ are graphed on the same set of axes. To find where the functions intersect, the following table of values was calculated for the functions.

$\ \ \ \ \ \ \ \ \mathbf{x} \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \mathbf{g(x)} \ \ \ \ \ \ \$
$-1.9$	$1.1496$	$6.100$
$-1.8$	$1.1653$	$1.2000$
$-1.7$	$1.1827$	$-0.3667$

Which of the following statements about the point of intersection of the two functions is correct? Choose all correct answers.

The x-coordinate of the point of intersection lies between 1.1 and 1.2.
One would need x values of greater precision, such as -1.85 or -1.775, to calculate a more precise answer.
The x values chosen are not near the point of intersection, so we cannot determine the point of intersection.
The x-coordinate of the intersection point is approximately -1.8.