Types of Functions/Key Features

Front

What is an Exponential Function?

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and b ≠ 1.

Front

What is a Linear Function?

Back

A function that can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a Quadratic Function?

Back

A function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is an Absolute Value Function?

Back

A function of the form f(x) = |x|, which outputs the non-negative value of x.

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point of the parabola, represented as (h, k) in the vertex form f(x) = a(x-h)^2 + k.

Front

What is the graph of a quadratic function called?

Back

Parabola.

Front

What is the Axis of Symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by the equation x = h, where (h, k) is the vertex.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the difference between a linear and a quadratic function?

Back

A linear function has a constant rate of change (straight line), while a quadratic function has a variable rate of change (curved line).

Front

What does the 'a' in a quadratic function determine?

Back

The direction and width of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.