I solved the first few problems but I can't seem to figure the rest of the questions. I'm not sure if I'm reading the graph incorrectly **Graph Analysis and Function Evaluation**In this lesson, we explore a linear graph of a function $ f $. The provided graph can be interacted with for a better understanding of how the function behaves.### Graph Description:- The graph displays a straight blue line with an upward slope, intersecting the y-axis at $ y = -2 $.- The x-axis ranges from -4 to 4, and the y-axis ranges from -8 to 8.- The graph represents a linear function, likely in the form $ y = mx + b $.### Evaluation Using the Graph:Using the graph, we can find the values of the function $ f(x) $ for specific x-values and determine the inverse function $ f^{-1}(y) $ for given y-values.#### Expressions:- **a.** $ f(3) = 2.5 $ The function value at $ x = 3 $ is correctly evaluated as 2.5. - **b.** $ f^{-1}(2) = 2.5 $ The x-value corresponding to $ y = 2 $ is correctly identified as 2.5.- **c.** $ f^{-1}(-2) = -2.5 $ The x-value corresponding to $ y = -2 $ is incorrectly evaluated. Check the line's y-intercept for correction.- **d.** $ f^{-1}(f(-2)) = 2/5 $ Incorrect evaluation—determine $ f(-2) $ first, then find $ f^{-1} $.- **e.** $ f^{-1}(f(351)) = -1/351 $ Incorrect—find $ f(351) $ and then its $ f^{-1} $.- **f.** $ f(f^{-1}(7)) = -7 $ Incorrect—evaluate $ f^{-1}(7) $ and then apply $ f $.### Conclusion:This exercise helps in understanding the evaluation of functions and their inverses using a graphical approach. Reassess incorrect calculations and utilize graph interaction for improved comprehension and accuracy.

f-1(-2) to find f inverse of -2, we need to find out x when y is -2 The value of x is -1.5 when y=-2 So f-1(-2)=-1.5 f-1(f(-2))= first we find out f(-2) from the graph f(-2)=-2.5 f-1(f(-2))=f-1(-2.5)= Now find you x when y=-2.5 f-1(f(-2))=f-1(-2.5)=-2f-1(f(-2))=f-1(-2.5)=-2 we got It means f-1(f(x))=x because f and f^-1 are inverse to each other f-1(f(351))=351f and f^-1 are inverse to each other so f-1(f(x))=f(f-1(x))=x f(f-1(x))=x f(f-1(7))=7

Math

Algebra

Use the graph to evaluate the following expressions: a. f(3) = 2.5 ]• Preview b. f-'(2) = 2.5 Preview %3D c. f-'(– 2) = 2.5 Preview d. f-'(f( – 2)) = 2/5 Preview e. f-(f(351)) = -1/351 Preview f(f-'(7)) = F7 Preview

Use the graph to evaluate the following expressions: a. f(3) = 2.5 ]• Preview b. f-'(2) = 2.5 Preview %3D c. f-'(– 2) = 2.5 Preview d. f-'(f( – 2)) = 2/5 Preview e. f-(f(351)) = -1/351 Preview f(f-'(7)) = F7 Preview

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: 2. Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation…

Q: Examine the graph to solve the following: Use the given graph of y= x+2 to solve the following 3…

Q: Sx+y> 5 (2x – y < 4 Graph the solution 4.

A: Given InEquations x+y>5 2x-y<4

Q: Find an equation for the graph sketched below 용 7- 4- -5 -4 -3 -2 -2 -4- -5- -6- -7- -8+ f(x) = %3D…

A: To find Equation of a line from the given graph.

Q: I need the formula to find head start needed when a bear runs 20mph for 1 mile and can maintain that…

A: Let the formula representing safe distance be SF.The distance covered by the bear be d miles.The…

Q: x+15 Graph the equation y = x²+400 window x-min=-200, x-max = 200, y-min= -0.02, y-max=0.06 with a…

Q: Determine the equation of the midline of the following graph. 4. 3 1. -37 37 4. 4 -1 -3

Q: i have to make a table and a graph for the problem 2x - y = 4 and i dont understand how to solve the…

Q: As you have found when using a graphing calculator, equations must be solved 7. that it can be…

A: Here is the solution of the given problem. Question No. 1-37

Q: Graph the equation y = -6x². To graph the equation, select values for x and find the corresponding…

A: Given equation :- y=-6x2

Q: (b) Graph the function and identify the key points on 3 To draw the graph, plot all points…

Q: Leanna has two equations that she found to be valuable models for her research. She thinks that if…

A: The two given equations are- 3x + y = 11 x - 2y = 6

Q: I'm having trouble understanding how to do this problem. I need to graph the equation y= -2 by…

Q: It doesn't allow me to go outside -9 or 9 on the graph is there another solution?

Q: 2. In the year 2005, the average cost of a car could be modeled by the equation C= -15x2 + 20x - 3…

Q: 1. Plot the data below in the grid of squares provided. You will have two data sets, one for men and…

A: Answer : • The graph of choice should be a scattered diagram.• This graph will help you to show a…

Q: if I have the question 2/5x + 1/3x > 11/15x-1/4 what is the answer and how will I graph it if…

A: Given,

Q: I also need help graphing this problem

Q: Solve the following problems below. Use graphing paper in your solutions. 1. The line segment…

Q: The three is multiplied by the problem

Q: Find the midpoint of the line segment shown below. Write your answer as an ordered pair. -5 4 -3 -2…

Q: up Member Names: Torrn Hummins Put yourselves in groups of 2-3 persons to complete the problems…

A: According to bartleby guidelines I can only answer the first question of the three given.

Q: If h and K are both positive, would the graph (x-h) 2-k look like? what y =

Q: Consider the following scenario. A person is taking a trip across country. They are at a stop light…

A: The driver started it journey from stop light in the Right direction. t = time in minutes.v(t)…

Q: SHOW ALL WORK for every problem. ALWAYS. This includes a GRAPH in an Appropriate e should be…

A: This question is related to area and perimeter . solve in step 2.

Q: Hello! I am wondering how do you graph an equation like y=-4/x+7. I am confused on where these…

A: Please see the below picture for detailed solution.

Q: Please answer the following and show how to solve using the graphing calculator. Thank you

A: To solve this problem using a graphing calculator (such as the TI-84 Plus), follow these steps:Step…

Q: Ling has two equations that she found to be valuable models for her research. She thinks that if she…

A: In the given graph, the point of intersection lies in the fourth quadrant. That is x value is…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

100%

I solved the first few problems but I can't seem to figure the rest of the questions. I'm not sure if I'm reading the graph incorrectly

**Graph Analysis and Function Evaluation**

In this lesson, we explore a linear graph of a function $ f $. The provided graph can be interacted with for a better understanding of how the function behaves.

### Graph Description:
- The graph displays a straight blue line with an upward slope, intersecting the y-axis at $ y = -2 $.
- The x-axis ranges from -4 to 4, and the y-axis ranges from -8 to 8.
- The graph represents a linear function, likely in the form $ y = mx + b $.

### Evaluation Using the Graph:
Using the graph, we can find the values of the function $ f(x) $ for specific x-values and determine the inverse function $ f^{-1}(y) $ for given y-values.

#### Expressions:
- **a.** $ f(3) = 2.5 $
The function value at $ x = 3 $ is correctly evaluated as 2.5.

- **b.** $ f^{-1}(2) = 2.5 $
The x-value corresponding to $ y = 2 $ is correctly identified as 2.5.

- **c.** $ f^{-1}(-2) = -2.5 $
The x-value corresponding to $ y = -2 $ is incorrectly evaluated. Check the line's y-intercept for correction.

- **d.** $ f^{-1}(f(-2)) = 2/5 $
Incorrect evaluation—determine $ f(-2) $ first, then find $ f^{-1} $.

- **e.** $ f^{-1}(f(351)) = -1/351 $
Incorrect—find $ f(351) $ and then its $ f^{-1} $.

- **f.** $ f(f^{-1}(7)) = -7 $
Incorrect—evaluate $ f^{-1}(7) $ and then apply $ f $.

### Conclusion:
This exercise helps in understanding the evaluation of functions and their inverses using a graphical approach. Reassess incorrect calculations and utilize graph interaction for improved comprehension and accuracy.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

What is the equation of this graph?
Leanna has two equations that she found to be valuable models for her research. She thinks that if she can find the solution of the two graphs, she will be able to identify a key point to her studies. Which displays the correct graphs that Leanna can use to identify the solution? 3x+ y= 11 x-2y 6 MacBook Air DII $10 A
I am trying to figure out how to Graph the equation y=5x 2. It does not make sense to me how to get the values for X and Y; thus to get the ordered pairs to then graph. I am completely lost. When I see examples, it looks like random numbers are chosen for X and Y.
Hello, I want to know what the remaining debt will be after 10, 15, and 25 years for each plan. If you want more details it is in the second image. Thanks!
can you walk me through how to do these 2 problems for my homework
I need help with this problem plus graph. Thank you!
I need help figuring out 2x-4y=12 graphed with solution points.
What would the ordered pair represent in the context of the problem.