The image displays an educational exercise on evaluating functions. Here's a detailed breakdown: ### Functions Provided: - \( f(x) = 2x - 4 \) - \( g(x) = x^2 + 1 \) ### Instructions: 1. **Press each hotspot:** - Perform the calculations for each value indicated. 2. **Label the corresponding number below with the requested value.** ### Audio Reminder: There is an audio widget allowing playback, preparing students with a reminder: - **Message:** "Remember to follow the order of operations when simplifying after substituting the known value into the function." ### Problem Areas: Six problems are presented, each needing evaluation at given points: 1. **\( f(-2) = \)** - To solve \( f(-2) \), substitute \(-2\) into the function: \( f(x) = 2(-2) - 4 \). 2. **\( f(3) = \)** - Find \( f(3) \) by substituting \(3\) into \( f(x) = 2(3) - 4 \). 3. **\( f(7) = \)** - Evaluate \( f(7) \) with \( f(x) = 2(7) - 4 \). 4. **\( g(-7) = \)** - Solve for \( g(-7) \), with \( g(x) = (-7)^2 + 1 \). 5. **\( g(-2) = \)** - Calculate \( g(-2) \) using \( g(x) = (-2)^2 + 1 \). 6. **\( g(2) = \)** - Determine \( g(2) \) with \( g(x) = (2)^2 + 1 \). Each evaluation is paired with a numerical label inside a dotted red box indicating where the solution should be placed.
The image displays an educational exercise on evaluating functions. Here's a detailed breakdown: ### Functions Provided: - \( f(x) = 2x - 4 \) - \( g(x) = x^2 + 1 \) ### Instructions: 1. **Press each hotspot:** - Perform the calculations for each value indicated. 2. **Label the corresponding number below with the requested value.** ### Audio Reminder: There is an audio widget allowing playback, preparing students with a reminder: - **Message:** "Remember to follow the order of operations when simplifying after substituting the known value into the function." ### Problem Areas: Six problems are presented, each needing evaluation at given points: 1. **\( f(-2) = \)** - To solve \( f(-2) \), substitute \(-2\) into the function: \( f(x) = 2(-2) - 4 \). 2. **\( f(3) = \)** - Find \( f(3) \) by substituting \(3\) into \( f(x) = 2(3) - 4 \). 3. **\( f(7) = \)** - Evaluate \( f(7) \) with \( f(x) = 2(7) - 4 \). 4. **\( g(-7) = \)** - Solve for \( g(-7) \), with \( g(x) = (-7)^2 + 1 \). 5. **\( g(-2) = \)** - Calculate \( g(-2) \) using \( g(x) = (-2)^2 + 1 \). 6. **\( g(2) = \)** - Determine \( g(2) \) with \( g(x) = (2)^2 + 1 \). Each evaluation is paired with a numerical label inside a dotted red box indicating where the solution should be placed.
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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Transcribed Image Text:The image displays an educational exercise on evaluating functions. Here's a detailed breakdown:
### Functions Provided:
- \( f(x) = 2x - 4 \)
- \( g(x) = x^2 + 1 \)
### Instructions:
1. **Press each hotspot:**
- Perform the calculations for each value indicated.
2. **Label the corresponding number below with the requested value.**
### Audio Reminder:
There is an audio widget allowing playback, preparing students with a reminder:
- **Message:** "Remember to follow the order of operations when simplifying after substituting the known value into the function."
### Problem Areas:
Six problems are presented, each needing evaluation at given points:
1. **\( f(-2) = \)**
- To solve \( f(-2) \), substitute \(-2\) into the function: \( f(x) = 2(-2) - 4 \).
2. **\( f(3) = \)**
- Find \( f(3) \) by substituting \(3\) into \( f(x) = 2(3) - 4 \).
3. **\( f(7) = \)**
- Evaluate \( f(7) \) with \( f(x) = 2(7) - 4 \).
4. **\( g(-7) = \)**
- Solve for \( g(-7) \), with \( g(x) = (-7)^2 + 1 \).
5. **\( g(-2) = \)**
- Calculate \( g(-2) \) using \( g(x) = (-2)^2 + 1 \).
6. **\( g(2) = \)**
- Determine \( g(2) \) with \( g(x) = (2)^2 + 1 \).
Each evaluation is paired with a numerical label inside a dotted red box indicating where the solution should be placed.
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