Math Problem Statement
a. To find the x-intercept, we set the x-value = 0 and solve for y. set the y-value = 0 and solve for y. set the y-value = 0 and solve for x. set the x=value =0 and solve for x. .
b. To find the y-intercept, we set the x-value = 0 and solve for y. set the x=value =0 and solve for x. set the y-value = 0 and solve for x. set the y-value = 0 and solve for y. .
c. To find the domain, we find the set of ---Select--- which make the function true.
d. To find the range, we find the set of ---Select--- which make the function true.
Solution
Here are the correct answers for each part:
a. To find the x-intercept, we set the y-value = 0 and solve for x.
- Answer: set the y-value = 0 and solve for x.
b. To find the y-intercept, we set the x-value = 0 and solve for y.
- Answer: set the x-value = 0 and solve for y.
c. To find the domain, we find the set of x-values which make the function true.
- Answer: x-values.
d. To find the range, we find the set of y-values which make the function true.
- Answer: y-values.
Would you like more details on why these answers are correct?
5 Related Questions:
- What is the difference between an x-intercept and a y-intercept geometrically?
- How do you find intercepts for more complex functions, like quadratics or exponentials?
- Can a function have more than one x- or y-intercept?
- How do domain restrictions affect the x-intercepts of a function?
- What are some common mistakes made when finding the domain and range of a function?
Tip: Always visualize the graph when finding intercepts or analyzing domain and range—this helps to understand how the function behaves.
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Math Problem Analysis
Mathematical Concepts
Intercepts
Domain and Range
Functions
Formulas
To find the x-intercept: set y = 0, to find the y-intercept: set x = 0
Theorems
Definition of x- and y-intercepts
Domain and Range of a function
Suitable Grade Level
Grades 8-10
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