NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! Chapter 11a
1 answer:
9514 1404 393
Answer:
- vertical shift: 7 (up)
- horizontal shift: 2 (right)
- vertical asymptote: x=2
- domain: x > 2
- range: all real numbers
Step-by-step explanation:
For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.
Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.
The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.
The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.
The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."
The graph is shown below. The vertical asymptote is the dashed orange line.
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The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.
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For this case we find the expression that represents the cost of each printing press.
x: Be the variable that represents the number of programs to print
So:
Cost 1: Janet’s Print Shop
Cost 2: The Printing Press
If we want to find the number of programs for which the costs are the same, then we equate both equations:
Thus, for 150 programs the cost is the same.
Answer:
For 150 programs the cost is the same.