Question
Find the
- and
-intercepts. (If an answer does not exist, enter DNE.)
-intercept (smaller
-value)
)
-intercept (larger
-value)
)
-intercept
Test for symmetry. (Select all that apply.)
The graph is symmetric with respect to the
-axis.
The graph is symmetric with respect to the
-axis.
The graph is symmetric with respect to the origin.
The graph is not symmetric with respect to the
-axis,
-axis, or the origin.
The graph is symmetric with respect to the
The graph is symmetric with respect to the
The graph is symmetric with respect to the origin.
The graph is not symmetric with respect to the
Ask by Henry Sullivan. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Cannot determine the intercepts and symmetry without the given equation or function.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To find the x-intercepts and y-intercepts, we typically set
for x-intercepts and
for y-intercepts.
X-intercepts: Solve
. For example, if the function
, you would factor or use the quadratic formula to find the x-values where the graph intersects the x-axis. Depending on the discriminant, you may find two real solutions, one real solution, or none (DNE).
Y-intercept: Simply substitute
into the equation
. This gives you the point where the graph crosses the y-axis.
For symmetry, check:
- x-axis symmetry: If replacing
with gives the same equation, it’s symmetric about the x-axis. - y-axis symmetry: If replacing
with yields the same equation, it’s symmetric about the y-axis. - Origin symmetry: If replacing both
and with their negatives results in the same equation, it has origin symmetry. If none of these hold, the graph is not symmetric with respect to any axis.
Happy graphing!