Question
- What are the zeros of the quadratic function shown below?
a.
and
b.
and
c.
and
d. The zeros cannot be determined for the function.
b.
c.
d. The zeros cannot be determined for the function.
Ask by Hanson Nguyen. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The zeros of the function are
and
.
Solution
To find the zeros of the quadratic function given by
we need to set
equal to zero and solve for
:
This equation will be satisfied when either factor is equal to zero:
-
→ -
→
Thus, the zeros of the function are
and
.
Now, let’s analyze the options provided:
a.
and
b. and
c. and
d. The zeros cannot be determined for the function.
b.
c.
d. The zeros cannot be determined for the function.
The correct answer is:
c.
and
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
The zeros of the quadratic function
can be found by setting the function equal to zero. This leads to the equation
. Solving this gives us the zeros
and
. So, the right answer is not directly listed. However, recognizing the structure of the equation helps us derive them easily!
Understanding how to find zeros can be particularly useful in various real-world applications, such as physics for determining points of equilibrium or in finance for calculating break-even points in business. Exploring quadratic functions can really lend itself to practical situations where identifying those crucial ‘zero’ points becomes necessary for decision-making and strategy!