Linear, Exponential or Quadratic

Front

What is a Linear Function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a Quadratic Function?

Back

A quadratic function is a function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0. Its graph is a parabola.

Front

What is an Exponential Function?

Back

An exponential function is a function of the form y = ab^x, where a is a constant, b is a positive real number, and x is the exponent. Its graph increases or decreases rapidly.

Front

Identify the type of function: y = 3x + 2

Back

Linear Function

Front

Identify the type of function: y = x² - 4x + 4

Back

Quadratic Function

Front

Identify the type of function: y = 2^x

Back

Exponential Function

Front

What is the general form of a quadratic equation?

Back

The general form of a quadratic equation is y = ax² + bx + c.

Front

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

Back

The 'a' in a quadratic function determines the direction of the parabola. If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.

Front

What is the slope in a linear function?

Back

The slope in a linear function represents the rate of change of y with respect to x. It is calculated as the rise over run.