Math 3 Midterm Review Unit 6

Front

On what interval is the function decreasing?

Back

( −∞, −2.55) U (0, 2.55)

Front

What is the remainder when a^3 - 4 is divided by a+2?

Back

-12

Front

Solve: x^2 - 4 = 0

Back

x= 2, 1+i, 1-i

Front

Is the polynomial f(x) = x^4 + 2x^2 even, odd, or neither?

Back

Even

Front

If f(x) = x^3 + 8x + 24, then find f(-2) using synthetic division. (remainder)

Back

0

Front

What is the definition of an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain.

Front

What is the definition of an odd function?

Back

A function f(x) is odd if f(-x) = -f(x) for all x in the domain.

Front

What is synthetic division?

Back

A method for dividing a polynomial by a linear binomial of the form (x - c).

Front

What is the Remainder Theorem?

Back

The remainder of the division of a polynomial f(x) by (x - c) is f(c).

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, for any two points x1 and x2 in the interval, if x1 < x2 then f(x1) > f(x2).