Answer:
Domain: set of Real numbers
Range{ set of Real numbers
Step-by-step explanation:
Since this is a cubic function, its domain and range are both the set of Real numbers.
The domain of any polynomial function is the set of Real numbers, And as far as the Range, we decide based on its end-behavior: since this is a polynomial with leading term
, then it has the property of getting to infinitely large values for increasing values of x, and infinitely negative values for decreasing values of x.
Your subtracting 3x from 5x: 5x-3x
This is so you only have a variable on one side
Okay, so first you set equal to 0:

Next simplify the equation so that the leading coefficient is positive:

Looking at the quadratic equation you can't easily simplify it, so plug it into the quadratic equation and simplify:

I noticed a couple mistakes in your work, so if you want me to I can explain them in the comments section :)
To put combine them together if it was 6x+2+9x-3 you wll comebime 6x and 9x and 2 and -3
Answers:
- a = 8
- r = -15%
- y = 4.9 approximately
Note: your teacher may want you to type in a positive value for r
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Explanation:
The given equation y = 8(1-0.15)^t is in the form y = a(1+r)^t
We have a = 8 as the initial value, or what we start with.
r = -0.15 converts to -15%, so we have a decay of 15%
Plug in t = 3 to find the corresponding value of y
y = 8(1-0.15)^t
y = 8(1-0.15)^3
y = 8(0.85)^3
y = 8(0.614125)
y = 4.913
y = 4.9