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…

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,...

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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.

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