Consider the following equation. y = x² + 1 Find any intercepts. (If an answer does not exist, enter DNE.) x-Intercept (x, y) = | y-Intercept (x, y) = | Test for symmetry. (Select all that apply.) The equation is symmetric with respect to the x-axis. The equation is symmetric with respect to the y-axis. The equation is symmetric with respect to the origin. None of the above.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 6ECP: Use symmetry to sketch the graph of xy2=1.
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Consider the following equation.
7
ܬܐ
y =
x² + 1
Find any intercepts. (If an answer does not exist, enter DNE.)
x-Intercept (x, y) = |
y-Intercept (x, y) =
Test for symmetry. (Select all that apply.)
The equation is symmetric with respect to the x-axis.
The equation is symmetric with respect to the y-axis.
The equation is symmetric with respect to the origin.
None of the above.
Transcribed Image Text:Consider the following equation. 7 ܬܐ y = x² + 1 Find any intercepts. (If an answer does not exist, enter DNE.) x-Intercept (x, y) = | y-Intercept (x, y) = Test for symmetry. (Select all that apply.) The equation is symmetric with respect to the x-axis. The equation is symmetric with respect to the y-axis. The equation is symmetric with respect to the origin. None of the above.
Sketch the graph of the equation.
-10
y
5
-5
y
1.0
0.8
0.6
0.4
0.2
-0.2
- (0. =/ )
0
(0, -7)
5
5
10
10
X
X
-10
-12 -10
(-7, 0)
-8
y
8
-6
(0,7)
-4
5
-2
y
10
8
6
4
2
10
X
X
Transcribed Image Text:Sketch the graph of the equation. -10 y 5 -5 y 1.0 0.8 0.6 0.4 0.2 -0.2 - (0. =/ ) 0 (0, -7) 5 5 10 10 X X -10 -12 -10 (-7, 0) -8 y 8 -6 (0,7) -4 5 -2 y 10 8 6 4 2 10 X X
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