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Alex_Xolod [135]
3 years ago
7

Shift y=5x 3 units up

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0

y = 5 x +3 is the final equation when y = 5 x 3 units up

<u>Step-by-step explanation:</u>

In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Here we have , y=5x . Function y = 5x is a straight line passing through origin and having a slope of 5  . Now we need to increment this function 3 units up i.e. y = 5x + 3  , This a straight line passing through x-axis at  \frac{-3}{5} and y-axis at 3. For your reference , following graph of y= 5x and y = 5x + 3 is attached .

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Step-by-step explanation:

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3 years ago
How are the graphs of the functions f(x) = √16^x and g(x) =3√64^x related?
liberstina [14]

Answer:- The functions f(x) and g(x) are equivalent.


Explanation:-

Given functions:- f(x)=\sqrt{16^x} and g(x)=\sqrt[3]{64^x }

Simplify the functions by using law of exponents

(a^n)^m=a^{nm}

Thus f(x)=\sqrt{16^x}=\sqrt{(4^2)^x}=\sqrt{4^{2x}} =\sqrt{(4^x)^2}=4^x

and g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x

⇒f(x)=g(x)

Therefore ,the functions f(x) and g(x) are equivalent.

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3 years ago
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Step-by-step explanation:

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