The expression of function g(x) is
<h3>How to determine the expression?</h3>
The function is given as:
When the function is stretched horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:
When the function is shifted left by 1 unit, the rule is:
f"(x) = f(x + 1)
So, we have:
When the function is shifted up by 3 units, the rule is:
g(x) = f"(x) + 3
So, we have:
Hence, the expression of function g(x) is
Read more about function transformation at:
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Answer:
see below for the graph
Step-by-step explanation:
The desired graph has two y-intercepts and one x-intercept. It is not the graph of a function.
Here's one way to get there.
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Start with the parent function y = |x| and scale it down so that it has a y-intercept of -1 and x-intercepts at ±1.
Now, it is ...
f(x) = |x| -1
We want to scale this vertically by a factor of -5. this puts the y-intercept at +5 and leaves the x-intercepts at ±1.
Horizontally, we want to scale the function by an expansion factor of 3. The transformed function g(x) will be ...
g(x) = -5f(x/3) = -5(|x/3| -1) = -5/3|x| +5
This function has two x-intercepts at ±3 and one y-intercept at y=5. By swapping the x- and y-variables, we can get an equation for the graph you want:
x = -(5/3)|y| +5
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<em>Comment on this answer</em>
Since there are no requirements on the graph other than it have the listed intercepts, you can draw it free-hand through the intercept points. It need not be describable by an equation.
A 80 square meter I’m not quite sure
Answer:
my guess is <u>not</u>
Step-by-step explanation:
Bias is something that all humans can not completely remove because we have different likes and dislikes. Some people will always favor one thing over another.
The monthly earning of two employees are determined by the number of products they sell in that month, plus a fixed amount.
Employee X:
Each month, this employee earns $245 per product sold plus $1,600.
Employee Y:
E = 270p + 1,750, where E is the monthly earnings and p is the number of products sold.
(How much does each employee earn if they do not sell any products that month?
Employee X earns $[?]
Employee Y earns $[?]