Math Problem Statement
Yes or no
Do the table and the graph represent the same function?
Solution
To determine whether the table and the graph represent the same function, we need to check if the points from the table align with the graph.
Given Table:
x-value | y-value |
---|---|
25 | -1405 |
30 | -1660 |
35 | -1825 |
40 | -1900 |
45 | -2155 |
Observing the Graph:
- The graph shows a decreasing trend, which aligns with the negative slope seen in the table values.
- The y-values in the table decrease as x increases, which also matches the downward trend in the graph.
- Checking specific values visually, the plotted points seem to align with those in the table.
Since the table values appear to match the trend of the graph, the correct answer is "Yes".
Would you like a more detailed verification using an equation?
Here are five related questions you might find useful:
- How do you determine if a function is linear from a table?
- What are some methods to verify if a table and a graph match?
- How do you find the equation of a function given a table of values?
- What is the significance of the slope in a function's graph?
- How can graphing software help in verifying mathematical relationships?
Tip:
To verify a function, check if the differences between y-values remain consistent for equal x-intervals (for a linear function).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear functions
Graph analysis
Data table interpretation
Formulas
Slope formula (m = (y2 - y1) / (x2 - x1))
Theorems
Concept of linearity in functions
Suitable Grade Level
Grades 8-10