For #2,3 Let f(x) ={x-2 if x < 3 {5 – x if x 2 3 2. Find f(3) 3. Find f(-5) Answer: Answer: 4. Compare each to y = |x|. Choose the correct description for each equation. b. A translation 3 units down. a. A translation 3 units up. C. A translation 3 units left. A) y= |x+3| d. A translation 3 units right.
For #2,3 Let f(x) ={x-2 if x < 3 {5 – x if x 2 3 2. Find f(3) 3. Find f(-5) Answer: Answer: 4. Compare each to y = |x|. Choose the correct description for each equation. b. A translation 3 units down. a. A translation 3 units up. C. A translation 3 units left. A) y= |x+3| d. A translation 3 units right.
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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can you hep me with 3 and 4? i appriciate it so much thank you
Transcribed Image Text:**Educational Exercise: Understanding Continuity and Transformations of Functions**
**1. Determine the intervals of each domain over which the function is continuous.**
*Explanation of Graph for Question 1:*
The graph appears to show a functional plot with an open circle at \(x = 1\). The y-axis ranges from -2 to 10, and the x-axis ranges from -3 to 3. The function seems discontinuous at \(x = 1\), as indicated by the open circle.
*Graph Description:*
The graph depicts a function that starts at \((x, y) = (-3, -2)\), curves smoothly upwards, and continues without breaks or jumps until \(x = 1\), where there is an open circle indicating discontinuity.
**Answer:** ____________________________
---
**For #2, 3 Let \( f(x) \) = \(\begin{cases}
x - 2 & \text{if } x < 3 \\
5 - x & \text{if } x \ge 3
\end{cases} \)**
**2. Find \( f(3) \)**
**Answer:** ____________________________
**3. Find \( f(-5) \)**
**Answer:** ____________________________
---
**4. Compare each to \( y = |x| \). Choose the correct description for each equation.**
**A)** \( y = |x + 3| \)
a. A translation 3 units up.
b. A translation 3 units down.
c. A translation 3 units left.
d. A translation 3 units right.
**Answer:** ____________________________
**B)** \( y = 2|x| \)
a. A vertical stretching by a factor of 2.
b. A translation 2 units up.
c. A vertical shrinking of a factor of 2.
d. A translation 2 units down.
**Answer:** ____________________________
---
Please review the graph carefully and use your understanding of piecewise functions and transformations to complete the exercise.
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