Answer:
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
We have been an division problem: 
.
We will simplify our division problem using rules of exponents.
Using product rule of exponents 
we can write:
Substituting these values in our division problem we will get,
Using power rule of exponents 
we will get,
Using product rule of exponents we will get,
Using power rule of exponents we will get,
Using quotient rule of exponent 
we will get,
Therefore, our resulting quotient will be .
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Answer:
A) mPQ = 71º
B) mSR = 161º
C) mQRT = 199ª
D) mPSR = 270º
E) mPS = 109º
Step-by-step explanation:
We know that mST is 19º and QR is also 19º because they're opposite angles. We also know that angle PUR is 90º.
If we subtract 19º from 90º we get 71º for mPQ.
We also know that TR is a 180º angle. Using this if we take 19º from 180º we're left with 161º for mSR.
Using the 180º from angle TR, as well as the 19º from mQR we know that mQRT has to be 199º.
A circle is 360º and a right angle is 90º. That means that mPSR is 270º.
Knowing that TR is 180º and that PR is 90º, PTº must be supplementary making it also 90º. Adding the 19º from ST to the 90º from TP we know that PS is 109º
The domain is all input values(otherwise known as all x-values on the x-axis) and the range is all possible output values( y-values, as shown on the y-axis). Functions are expressions involving 1 or more variables, in a function x-values are only allowed 1 y-value or else it isn’t considered a function.
Hope this helps!
