AP Precalculus Unit 1 Review

Front

What is an even function?

Back

An even function is symmetric over the y-axis, meaning that for an even function f, it holds that f(-x) = f(x).

Front

What is an odd function?

Back

An odd function is symmetric about the origin, meaning that for an odd function g, it holds that g(-x) = -g(x).

Front

If f(-3) = 19 and f is an even function, what is f(3)?

Back

f(3) = 19.

Front

What is the factored form of a polynomial with roots 2, 5i, and 6?

Back

The correct factored form is (x-6)(x-2)(x+5i)(x-5i).

Front

How do you determine where a polynomial function f(x) is greater than 0?

Back

You analyze the intervals where the graph of f(x) is above the x-axis.

Front

What is an inflection point?

Back

An inflection point is where a graph changes concavity.

Front

If x = i√3 is a zero of a polynomial function, what is the least possible degree n of the polynomial?

Back

The least possible value of n is 5.

Front

What is the significance of complex roots in polynomial functions?

Back

Complex roots occur in conjugate pairs, and their presence affects the degree of the polynomial.

Front

How do you find the roots of a polynomial function?

Back

You can use factoring, synthetic division, or the quadratic formula for quadratic polynomials.

Front

What does it mean for a function to be increasing?

Back

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