Math Problem Statement
The function f(x) is graphed on the coordinate plane. What is f(-1)?
Solution
We are asked to find based on the graph of the function .
To find :
- Look at the x-coordinate of -1 on the graph (along the horizontal axis).
- Move vertically from until you hit the graph of the function.
- The y-coordinate at that point will be the value of .
From the graph:
- When , the corresponding -coordinate is 2. Thus, .
Let me know if you need further clarification!
Here are five related questions to consider:
- How can you determine the slope of this linear function from the graph?
- What is the equation of the line represented by ?
- How would you calculate using the same method?
- Can you predict for values outside the graph, like ?
- How would you determine the x-intercept from this graph?
Tip: To find values of a function from a graph, always match the x-value to its corresponding y-value on the curve or line.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear functions
Coordinate plane
Graph interpretation
Formulas
y = mx + b (Equation of a line)
Theorems
Linear relationships on a graph
Suitable Grade Level
Grades 6-8