Function Notation & Combining Like Terms

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

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 equation in place of the variable. For example, if f(x) = 2x + 3, to find f(2), substitute 2 for x: f(2) = 2(2) + 3 = 7.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms in an expression that have the same variable raised to the same power. For example, in the expression 3x + 4x, you can combine the like terms to get 7x.

Front

Evaluate f(x) = 16 - (x + 19)² at x = -14.

Back

f(-14) = 16 - (-14 + 19)² = 16 - 5² = 16 - 25 = -9.

Front

Evaluate f(x) = x² + 3x + 1 at x = -4.

Back

f(-4) = (-4)² + 3(-4) + 1 = 16 - 12 + 1 = 5.

Front

Simplify the expression: 5a + 2b - 3a + 4.

Back

2a + 2b + 4.

Front

Evaluate f(x) = -4x - 5 at x = 1.

Back

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

Front

Evaluate g(x) = 4x - 7 at x = -9.

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a parabola in the form f(x) = a(x - h)² + k?

Back

The vertex of the parabola is the point (h, k), where 'h' and 'k' are constants that determine the position of the vertex.