Math Problem Statement
Solution
I see that you've uploaded an image of a quiz review question. Let me transcribe and help you solve it.
From the image, the problem appears to be:
Given the equation , find the following:
- The x-intercept.
- The y-intercept.
Solution:
Let's solve this step by step.
1. Finding the x-intercept:
The x-intercept occurs where . So, set the equation equal to zero:
For the fraction to be zero, the numerator must be zero. So:
Thus, the x-intercept is .
2. Finding the y-intercept:
The y-intercept occurs where . So, substitute into the equation:
Thus, the y-intercept is .
Final Answer:
- x-intercept:
- y-intercept:
Would you like further clarification or more details on this?
Here are 5 additional related questions to practice:
- How do you find the x-intercept of a quadratic equation?
- What happens to the intercepts if the equation is ?
- How do you determine the vertical asymptotes of rational functions like this one?
- What is the domain of the function ?
- How do the intercepts change if the function was ?
Tip: To find the x-intercept of a function, always set and solve for .
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Math Problem Analysis
Mathematical Concepts
Algebra
Intercepts
Rational Functions
Formulas
x-intercept: Set y = 0 and solve for x
y-intercept: Set x = 0 and solve for y
Theorems
Basic principles of intercepts in algebra
Suitable Grade Level
Grades 9-12