NC Math 3 Benchmark Reviewer

Front

What is the value of x in the equation 9^{-3x + 2} = 48?

Back

x ≈ 0.0794

Front

What is the remainder when dividing x^3 - 1 by (x + 2)?

Back

The remainder is -9.

Front

How many real zeros does the function f(x) have if it has 2 real zeros?

Back

The total number of real zeros is 2.

Front

What is the value of h(-4) + 3h(-2) if it equals 30?

Back

h(-4) + 3h(-2) = 30.

Front

What is the y-value when f(x) = g(x) if the answer is 2?

Back

The y-value is 2.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n, a_{n-1}, ..., a_0 are constants and n is a non-negative integer.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

Explain the Remainder Theorem.

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

What is a real zero of a function?

Back

A real zero of a function is a value of x for which f(x) = 0.

Front

What does it mean for two functions to intersect?

Back

Two functions intersect at points where their outputs (y-values) are equal for the same input (x-value).