Answer:
- (a) no
- (b) yes
- (c) no
- (d) no
Step-by-step explanation:
"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.
For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.
Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.
To solve for y, isolate the variable to one side.
9x+3y=4
-9x -9x
~~~~~~~~
3y= -9x+4
~~~~~~~~
3y= -9x+4 (Divide both sides by 3)
y=-3x+4
A, B, D are functions.
(First, second, and fourth response)
You can see which is function since for everyone input only has one value. You can also use the vertical line test.
