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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The first step to solving this equation is to change the signs on both sides of the equation
y = -
x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = -x + 3, x ∈ R
Let me know if you have any further questions
:)
y = -
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = -
Let me know if you have any further questions
:)