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)equals​0?
xequals
  
enter your response here 
​(Use a comma to separate answers as​ needed.)

To solve part (e), we need to find the values of \( x \) where \( f(x) = 0 \), 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 \( f(x) = 0 \) 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:

1. What is the behavior of \( f(x) \) near \( x = -14 \) and \( x = 12 \)?
2. How do you determine whether a function is positive or negative using its graph?
3. What is the significance of finding \( f(x) = 0 \) in terms of the function's real-world applications?
4. How can we find the maximum and minimum points of a function using its graph?
5. 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.

Use the graph of the function f shown to the right to answer parts​ (a)-(n). Part 1 ​(a) Find ​f(-14​) and ​f(-6​). f(-14) = -2, f(-6) = 3. Part 2 ​(b) Find ​f(12​) and ​f(0​). f(12) = 2, f(0) = -1. Part 3 ​(c) Is ​f(4​) positive or​ negative? Positive. Part 4 ​(d) Is ​f(-4​) positive or​ negative? Positive. Part 5 ​(e) For what​ value(s) of x is ​f(x) = 0? x = ?

Learn how to interpret the graph of a function to find values of f(x) at specific points, determine the sign of the function at given values, and identify where f(x) equals 0. This problem covers key concepts in function analysis and graph interpretation, suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation