Answer:
Domain: [3, ∞)
Range: [-1, ∞)
Step-by-step explanation:
lmk if you want an explanation
Part A:
Yes this is a function of x. Specifically the function is f(x) = x^2
The inputs (x) are squared to get the outputs (y).
For example,
f(x) = x^2
f(-3) = (-3)^2 <<--- input is x = -3
f(-3) = 9 <<--- output is 9
The pair of values -3 and 9 are shown in the table (column on the very right side)
The fact that each input leads to exactly one output is what makes this a function. If we had an input lead to multiple outputs, then it wouldn't be a function.
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Part B
Replace every x with 150 and then use the order of operations PEMDAS to simplify
f(x) = 20+3x
f(x) = 20+3*x
f(150) = 20+3*150 <<--- x has been replaced with 150
f(150) = 20+300
f(150) = 320
So the value of f(150) is 320
The input is 20
The output is 320
x is the number of hours
y or f(x) is the total cost
So this means f(150) = 320 represents the idea that 150 hours of renting the rowboat leads to a total cost of $320
f (x) = x ^ 4-x ^ 3 + x ^ 2-x
For this case what we can do is graph the function and see the behavior of it.
We have then that the function grows upwards (see attached image)
It has two cutting points with the x axis in:
x = 0
x = 1
Therefore, the other roots of the polynomial are imaginary.
Answer: 2 x intercepts appear on the graph of this polynomial function
-4x+56=24
-56=-56
———————
-4x =-32
-32/-4x
X=8
When I did the math in my head the fraction I got was 20/100000. 20/100000 as a decimal form is 0.0002.