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son4ous [18]
3 years ago
8

!HELP! What is the equation for the following absolute-value functions?

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

  f(x) = |x -1|

Step-by-step explanation:

The parent absolute value function f(x) = |x| is shifted one unit to the right. We know that replacing x with (x-h) will shift a function h units to the right. Here, we want h=1. The shifted function is ...

  f(x) = |x -1|

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2 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
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Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
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