Question
ou are given a table showing input and output values for a given function y 1equalsf(x). Using this table, find left parenthesis if possible right parenthesis (a) the x-intercept of the graph of yequalsf(x), (b) the y-intercept of the graph of yequalsf(x), and, (c) the solution to the equation f(x)equals0.
X
Upper Y 1
negative 10
0
0
38
Question content area bottom
Part 1
(a) What is the x-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
xequals
enter your response here
B.
There is no x-intercept.
Part 2
(b) What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
yequals
enter your response here
B.
There is no y-intercept.
Part 3
(c) What is the solution to f(x)equals0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
xequals
enter your response here
B.
There is no solution.
X
Upper Y 1
negative 10
0
0
38
Question content area bottom
Part 1
(a) What is the x-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
xequals
enter your response here
B.
There is no x-intercept.
Part 2
(b) What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
yequals
enter your response here
B.
There is no y-intercept.
Part 3
(c) What is the solution to f(x)equals0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
xequals
enter your response here
B.
There is no solution.
Answers
GPT-4o mini
To answer your questions, we first need to understand what the intercepts are based on the table you've provided. However, since the table does not give specific values, I'll guide you through the steps based on given definitions:
### Part 1: Finding the x-intercept
The **x-intercept** of a function occurs where the output \( y \) (or \( f(x) \)) is equal to 0.
- **If the table shows any values where \( f(x) = 0 \)**, the corresponding \( x \) values will be the x-intercepts.
1. Look through the table for any instance where the output \( y \) is 0.
2. If found, that's your x-intercept.
3. If not, then:
**Choice A:** \( x = \text{insert x value (if found)} \)
**Choice B:** There is no x-intercept.
### Part 2: Finding the y-intercept
The **y-intercept** occurs where the input \( x \) is equal to 0.
- **Look for the value of \( f(0) \)** in the table.
1. If the table contains an entry for \( x = 0 \), that value will be your y-intercept.
2. If not:
**Choice A:** \( y = \text{insert y value at } x = 0 \text{ (if found)} \)
**Choice B:** There is no y-intercept.
### Part 3: Solution to the equation \( f(x) = 0 \)
The solution to \( f(x) = 0 \) is essentially the same as the x-intercept found in Part 1.
1. If you found any value for \( x \) such that \( f(x) = 0 \), then:
**Choice A:** \( x = \text{insert value (if found)} \)
**Choice B:** There is no solution.
Without specific data from the table, these are the logical steps to take. If you have specific values from the table, please provide them, and I can assist you further in determining exact intercepts and solutions!
### Part 1: Finding the x-intercept
The **x-intercept** of a function occurs where the output \( y \) (or \( f(x) \)) is equal to 0.
- **If the table shows any values where \( f(x) = 0 \)**, the corresponding \( x \) values will be the x-intercepts.
1. Look through the table for any instance where the output \( y \) is 0.
2. If found, that's your x-intercept.
3. If not, then:
**Choice A:** \( x = \text{insert x value (if found)} \)
**Choice B:** There is no x-intercept.
### Part 2: Finding the y-intercept
The **y-intercept** occurs where the input \( x \) is equal to 0.
- **Look for the value of \( f(0) \)** in the table.
1. If the table contains an entry for \( x = 0 \), that value will be your y-intercept.
2. If not:
**Choice A:** \( y = \text{insert y value at } x = 0 \text{ (if found)} \)
**Choice B:** There is no y-intercept.
### Part 3: Solution to the equation \( f(x) = 0 \)
The solution to \( f(x) = 0 \) is essentially the same as the x-intercept found in Part 1.
1. If you found any value for \( x \) such that \( f(x) = 0 \), then:
**Choice A:** \( x = \text{insert value (if found)} \)
**Choice B:** There is no solution.
Without specific data from the table, these are the logical steps to take. If you have specific values from the table, please provide them, and I can assist you further in determining exact intercepts and solutions!