Function Notation & Combining Like Terms

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. For example, f(x) represents a function named 'f' evaluated at 'x'.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's expression. For example, if f(x) = 2x + 3, then f(2) = 2(2) + 3 = 7.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

Front

Simplify: 4x^2 - 3x + 11 - 2x

Back

4x^2 - 5x + 11.

Front

What is the result of f(x) = -4x - 5 when x = 1?

Back

f(1) = -4(1) - 5 = -9.

Front

What is the simplified form of 2a^2 - 8a^2 + 5a^3 - 11a^2?

Back

-17a^2 + 5a^3.

Front

Combine the terms: 5x + 3y + 5 + 4x + 3y + y + 8

Back

9x + 7y + 13.

Front

What is the value of f(x) = 16 - (x + 19)^2 when x = -14?

Back

f(-14) = 16 - (-14 + 19)^2 = -9.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x + 1 is a polynomial.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.