Algebra 1- Types of Functions

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 = 2x + 3

Back

Linear Function

Front

Identify the type of function: y = x² - 4

Back

Quadratic Function

Front

Identify the type of function: y = 3(2^x)

Back

Exponential Function

Front

What is the general form of a Linear Function?

Back

The general form is y = mx + b.

Front

What is the vertex of a Quadratic Function?

Back

The vertex is the highest or lowest point of the parabola, found at the point (h, k) in the vertex form y = a(x-h)² + k.

Front

What is the slope in a Linear Function?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope rises, while a negative slope falls.

Front

What does the 'b' represent in the Linear Function y = mx + b?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.