Math Test 1.4-1.5 Review

Any function that is always increasing is what?

one to one

What kind of functions have inverses?

only one to one

True or False: All linear functions are one to one

False

True or False: If f is an even function, then the inverse of f exists.

False

True or False: If f is an odd function, the inverse will exist.

False

True or False: Only some functions have inverses.

False

True or False: The domain of division will always be different from the domain for addition, subtraction, and multiplication.

False

True or False: There exists no function f such that f equals the inverse.

False

True or False: f(g(x)) = g(f(x))

False

If f(x) = x^n where n is odd, the inverse of f exists.

True

True or False: If the inverse o f exists, the y-intercept of f is an x-intercept of the inverse of f.

True

True or False: The inverse and original graph will always have point that intersects y=x in common

True

What kind of functions are always one to one?

fractions