# Points, Vectors, and Functions

# Points, Vectors, and Functions: Function Junction, What's Your Function? Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Points, Vectors, and Functions**Q. Which of the following statements is true?

The equation

*x*describes^{2}= y^{2}*y*as a function of*x*.The equation

*y*describes^{2}= x^{2}*x*as a function of*y*.The equation

*y = x*describes^{2}*y*as a function of*x*.The equation

*x*describes^{2}= y*x*as a function of*y*.Q. We say

*y =*is a function of*f*(*x*)*x*ifthere is only one possible

*y*for each*x*.there is only one possible

*x*for each*y*.both (A) and (B) hold.

none of the above.

Q. Which of the following functions is bounded above but not bounded below?

Q. We say a function

*f*(*x*) defined on the whole real line is bounded below ifThere is a real number

*K*such that*f*(*x*) ≤ K for all real*x*.There is a real number

*x*such that*f*(*x*) ≤ K for all real*K*.There is a real number

*K*such that*f*(*x*) ≥ K for all real*x*.There is a real number

*x*such that*f*(*x*) ≥ K for all real*K*.Q. Which of the following statements is FALSE?

If a function is strictly increasing, that function must also be non-decreasing.

If a function is non-decreasing, that function must also be strictly increasing.

It is possible for a function to be both non-decreasing and non-increasing.

It is possible for a function to be neither strictly increasing nor strictly decreasing.

Q. Which of the following graphs shows a function that is non-increasing but is not strictly decreasing?

Q. Which of the following graphs shows an even function?

Q. Which of the following functions is odd?

*f*(

*x*) = x

^{2}

*f*(

*x*) = x + x

^{2}

*f*(

*x*) = x + x

*f*(

*x*) = x

^{2}+ x

Q. Which of the following statements is true?

A function must be either even or odd.

A function cannot be both even and odd.

It is possible for a function to be neither even nor odd.

If a function is not even, then that function must be odd.

Q. Which graph shows a function that is strictly decreasing, odd, and bounded both above and below?

A

B

C

D