Advanced Algebra Pre Test

Front

Factor: x^2 + 13x + 30

Back

(x + 3)(x + 10)

Front

Identify the constant term in the polynomial function: 2x^3 - 8x^2 + 3x - 7

Back

-7

Front

What is the asymptote of y = 2^x - 3?

Back

y = -3

Front

Determine the domain and range of the quadratic function: y = x^2 - 7

Back

Domain: (-∞, ∞), Range: [-7, ∞)

Front

What is the range of the quadratic function y = x^2 - 4?

Back

(-∞, 4]

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the leading coefficient of the polynomial 3x^4 - 5x^3 + 2?

Back

3

Front

Explain what an asymptote is in the context of graphing functions.

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

What is the vertex of the quadratic function y = x^2 - 6x + 8?

Back

(3, -1)

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.