Polynomials (Chapter 1 Review)

What defines a polynomial?

A non-negative integer of a variable.

Which degrees are odd?

1,3,5,7…

Which degrees are even?

2,4,6,8…

What is the equation used to determine if a function is even?

F(x)=f(-x)

What is the equation used to determine if a function is odd?

F(x)=-f(x)

What does the sign of the leading coefficient effect?

End behaviour.

What is the end behaviour of an odd function with a positive leading coefficient?

Q3-Q1

What is the end behaviour of an odd function with a negative leading coefficient?

Q2-Q4

What is the end behaviour of an even function with a positive leading coefficient?

Q2-Q1

What is the end behaviour of an even function with a negative leading coefficient?

Q3-Q4

What is the domain and range of a odd function?

X=elements of the reals, Y=elements of the reals

What is the domain and range of an even function.

X=element of the reals, Y=element of the reals | y>0

What type of symmetry do even functions typically have?

Line symmetry

What type of symmetry do odd functions typically have?

Point symmetry.

What is the equation to find finite difference?

A(n!)

What number determines which difference will be constant?

The degree.

How do you calculate instantaneous rate of change?

By using a slope of a tangent.

How do you determine the average rate of change?

By using the slope of a secant.

What transformation occurs if a>1?

A vertical stretch.

What transformation occurs if 0

A vertical compression.

What transformation occurs if a

A reflection across the x-axis.

What transformation occurs if k>1?

A horizontal compression.

What transformation occurs if 0

A horizontal stretch.

What transformation occurs if k

A reflection across the y-axis.

What transformation occurs if d is negative?

A shift right,

What transformation occurs if d is positive?

A shift left.

What transformation occurs if c is negative?

A shift down.

What transformation occurs if c is positive?

A shift up.