Math Problem Statement
Which function has the same y-intercept as the function whose graph is shown?
Solution
We are asked to identify which function has the same y-intercept as the function whose graph is shown.
Steps to solve:
-
Locate the y-intercept: The y-intercept is the point where the graph crosses the y-axis (when ). From the graph, it looks like the y-intercept is at .
-
Find the y-intercept for each function:
- : When , . The y-intercept is .
- : When , . The y-intercept is .
- : When , . The y-intercept is .
- : When , . The y-intercept is .
Conclusion:
The function that has the same y-intercept () as the graph shown is .
Would you like more details or have any questions about the process?
Here are five related questions:
- How can you quickly find the y-intercept of any function?
- What is the significance of the y-intercept in real-world applications?
- How do different powers of affect the shape of a graph?
- Why does the exponential function have a positive y-intercept?
- How do you distinguish between different polynomial graphs?
Tip: Always substitute into a function to find the y-intercept!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Y-intercepts
Functions
Graphs
Formulas
Substitute x = 0 into f(x) to find the y-intercept
Theorems
Y-intercept Theorem
Suitable Grade Level
Grades 9-11