Functions and Matrices

Match the following

• zero of a function

• The point at which a function changes from increaing to decreasing is the _____________ of the function

• matrix

• A _______________ is a constant that is multiplied by a matrix or matrices

• order

• A _____________ is the value of x when y=0

• scalar

• When both dimensions of a matrix are given we have the _________ of the matrix

• maximum

• An arrangement of numbers in a rectangular shape.

Match the following

• columns and rows

• To add two or more matrices their ___________ must be the same

• rows and columns

• To multiply a matrix by another matrix the __________ of the first matrix must equal the ___________ of the second matrix

• order

• When we are giving the dimesions of a matrix we always list it in _____________

• element, or entry

• The point at which a function changes from decreasing to increasing is the _____________ of the fuction

• minimum

• To complete scalar multiplication, we have to multiply the scalar by each ____________ of the matirx

What is the range of the function above?

• x||-1<x<1

• x|| -infinity<x<infintiy

• x||-0.5<x<0.5

• This is not a function, so it is not possible to determine range.

What are the zeros for this function?

• x={ -360, -180, 0, 180, 360}

• y={-360, -180, 0, 180, 360}

• y={1 and -1}

• None of the above

The function is increasing between ​ ​ (a)   , and decreasing ​ (b)   The domain of this function is ​ (c)   the range is ​ (d)   . The zeros of this function are at the ​ (e)  

• -360<x<180
• -360<x<360
• odd multiples or 90

Name the parent graph of the equation below:
g(x)=|x|-7

• A "v" graph

• A linear graph

• A quadratic graph

• An absolute value graph

Name the parent graph of the equation below:

g(x)=x^2+5

• linear

• quadratic

• A "U" graph

• absolute value

What do m, n, p and q equal in this scalar matrix multiplication?

• m=8, n=9, p=-4, q=4 
• m=15, n = -45, p=20, q=-5
• m=20, n=-5, p=15, q=-45
• m=-5, n=20, p=-45, q=15

Find A-B

• -3     1
  7     -1
• 1     0
  1     -4
• -4       0
  6     -1
• not possible because rows do not match columns

find: B*A. Remember, ORDER MATTERS!

• 47 30

  9 5

• 17 15

  42 35

• 10 25

  7 1

• not possible because rows do not match columns