Pre-Calculus Review

Front

What is the inverse of f(x) = x² - 5?

Back

f⁻¹(x) = √(x + 5)

Front

Find the domain and range of the function f(x) = x² - 4.

Back

Domain: (-∞, ∞), Range: [-4, ∞)

Front

What is the range of f(x) = 5^x?

Back

y > 0

Front

Solve: 2^x = 4^(x + 1).

Back

x = -2

Front

Which of the following is NOT a polynomial: y=1/2x³ + 3x + 4, 2|x| - 9, y=6, y=x² + 9?

Back

2|x| - 9

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define the range of a function.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is 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 vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, swap x and y in the equation and solve for y.