Three function questions...?

Question

1. Under what circumstances is a linear function in the form of f(x)=mx+b odd???

2. Can a linear function be even?

3. Can the graph of a polynomial function have no y intercept? Can it have no x-intercepts?? How does that work?

Answer 1

1. when b = 0
2. only if it has zero slope
3. it must have a y-intercept. it can have no x-intercept (for example y=x²+1)

Answer 2

Duffman is correct for #1 and 2.

#3 is yes it can, because you can define a circle as a polynomial. For example, a circle centered at (3,3) with a radius of 1 has no x or y intercepts.

Answer 3

magnificent Integer function is a function written as f(x) = [x], the position f(x) is the magnificent integer decrease than or equivalent to x. I purely have one []. a million) symmetry -- ?? 2) even/extraordinary -- no no longer even f(50.a million) isn't = f(-50.a million) and by no ability extraordinary because -f(10.5) isn't = f(-10.5) f(-10.5) surely = -11 3) f(a million.7) = a million and f(a million.6) = a million, so no longer one to one. for 2 distinct x we've a similar answer.