What is the range of the function f(x) = -|X - 4| + 5?
1 answer:
Answer:
Range = (-<em>∞, 5</em>)
Step-by-step explanation:
This is the absolute value function with transformation.
The parent function is f(x) = |x|
This function has a "negative" in front, so it makes it reflect about x axis
The -4 after x makes horizontal translation of 4 units right
the +5 at the end makes the function translate 5 units UP
<em>The graph is shown in the attached picture.</em>
<em>Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the </em><em>range is -infinity to 5</em>
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<em>answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5</em>
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Answer:
Walkway is 3 feet wide.
Step-by-step explanation:
Given:
Length of the building is 150 ft
width of the building is 100 ft
walkway is x ft wide.
Total area(around and including the building) = 16536 square feet
Solution:
Length of the total area will be = length of the building + width of walkway from 2 sides =
Width of the total area will be = width of the building + width of walkway from 2 sides =
Now Total area(around and including the building) = Length of the total area Width of the total area
Now solving for both equation we get.
Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.
∴ Width of the walkway is 3 ft.