Math Problem Statement
Use the graph of the function f shown to the right to answer parts (a)-(n). Question content area bottom left Part 1 (a) Find f(negative 14) and f(negative 6). f left parenthesis negative 14 right parenthesis equals negative 2 f left parenthesis negative 6 right parenthesis equals 3 Part 2 (b) Find f(12) and f(0). f left parenthesis 12 right parenthesis equals 2 f left parenthesis 0 right parenthesis equals negative 1 Part 3 (c) Is f(4) positive or negative? Positive Positive Negative Negative Your answer is correct. Part 4 (d) Is f(negative 4) positive or negative? Positive Positive Your answer is correct.Negative Negative Part 5 (e) For what value(s) of x is f(x)equals0? xequals enter your response here (Use a comma to separate answers as needed.)
Solution
To solve part (e), we need to find the values of where , which represents the points where the graph crosses the x-axis.
These are the x-values where the function equals 0, or where the graph intersects the horizontal axis (y = 0).
Let’s summarize what we need:
- Look for the points where by identifying the x-intercepts on the graph.
Since the graph is not provided in text form, I cannot see it directly. Could you describe the graph or provide the x-values where the graph intersects the x-axis? These x-values are the solutions for part (e).
Once you provide those details, I can give a complete answer.
Do you have any further questions about the previous parts, or would you like more details? Here are five related questions to expand on the information:
- What is the behavior of near and ?
- How do you determine whether a function is positive or negative using its graph?
- What is the significance of finding in terms of the function's real-world applications?
- How can we find the maximum and minimum points of a function using its graph?
- What does the slope of a graph tell us about the rate of change of the function?
Tip: Remember, the x-intercepts of a function are the points where the function's output is zero (y = 0), and these are crucial for solving many algebraic problems.
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Math Problem Analysis
Mathematical Concepts
Function Analysis
Graph Interpretation
Formulas
f(x) = 0 (finding x-intercepts)
Determining the sign of a function from a graph
Theorems
Basic properties of functions and their graphs
Suitable Grade Level
Grades 9-11