The domain and the range of the function are
- Domain: -∝ < x < ∝
- Range: -∝ < f(x) < ∝
The domain and the range of the function
The function is given as:
f(x) = x^7
The above function has no restriction on its input and output.
So, the domain and the range of the function are
Domain: -∝ < x < ∝
Range: -∝ < f(x) < ∝
The x-intercept and the y-intercept of the function
The function is given as:
f(x) = x^7
Set x = 0
f(0) = 0^7
f(0) = 0 -- this represents the x and the y intercept
So, the x-intercept and the y-intercept of the function are
x-intercept: (0,0)
y-intercept: (0,0)
The increasing, decreasing and the constant intervals
The increasing interval
This is when f(x) increases
The interval is [0, ∝)
So, we have
Increasing interval: [0, ∝)
The decreasing interval
This is when f(x) decreases
The interval is (∝, 0}
So, we have
Decreasing interval: (∝, 0]
The constant interval
This is where f(x) does not change
There is no interval on f(x) where f(x) does not change
So, we have
Constant interval: DNE
The function type
The function is an odd function
This is so because
f(x) = -f(x)
The symmetry
The function has an origin symmetry
This is so because it is an odd function
Read more about functions at:
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