SOLUTION: I am trying to do the following problems:
1. Let t(x) = { 1-3x for x <= -1
{ 1+x^2 for x > -1
Determine t(−3), t(−1), t(0), and t(5).
2. Graph f
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Question 401115: I am trying to do the following problems:
1. Let t(x) = { 1-3x for x <= -1
{ 1+x^2 for x > -1
Determine t(−3), t(−1), t(0), and t(5).
2. Graph f(x) = { |x| for x < 2
{ 1 for 2 <= x < 4
{ 1 − x for x >= 4
3. Draw the graph of y = −2|x + 1| − 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate
transformation.
4. Same as problem 3 for the function y = −4 sqrt x + 2 + 1.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. Let t(x) = { 1-3x for x <= -1
..............{ 1+x^2 for x > -1
Determine
t(−3) = 1-3(-3) = 10
t(−1) = 1-3(-1) = 4
t(0) = 1+0^2 = 1
t(5) = 1+5^2 = 26
================================
2. Graph f(x) = { |x| for x < 2
................{ 1 for 2 <= x < 4
................{ 1 − x for x >= 4
Note: Can't show this segmented graph on this site.
================================
3. Draw the graph of y = −2|x + 1| − 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate transformation.
1st: Graph y = |x|
2nd: Shift 1 to the right to get |x+1|
3rd: Reflect in the x-axis
4th: Multiply all the y-values by 2
5th: Shift all the points down 4 units.
===============
4. Same as problem 3 for the function y = −4 sqrt (x + 2) + 1.
1st: Graph y = sqrt(x)
2nd: Shift 2 to the left
3rd: Reflect in the x-axis
4th: Multiply all the y-values by 4
5th: Shift all the points up 1 unit.
=================
Cheers,
Stan H.
===========
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