Math Problem Statement
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Find f(1) and one value of x for which f(x) = 0 based on the graph of a function f.
Solution
Let's solve the problem step by step by analyzing the graph and the given questions:
(a) Find :
To find , look at the graph where and find the corresponding -value. On the graph, when , the -value is approximately 3. Hence:
(b) Find one value of for which :
We are looking for the -value where the graph intersects the -axis, which is when . From the graph, the function intersects the -axis at .
Thus:
Final answers:
- One value of for which is .
Let me know if you need any more details!
Here are 5 related questions for further practice:
- What is based on the graph?
- Find the slope of the line represented by the graph.
- How would you find the -intercept of the function?
- What is the domain and range of this function?
- How can you express this linear function algebraically?
Tip: To find where a function equals zero (i.e., its roots), always check where it crosses the x-axis.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Graph Analysis
Formulas
-
Theorems
Linear Graphs and their intercepts
Suitable Grade Level
Grades 8-10