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 an Absolute Value Function?

Back

An absolute value function is a function that contains an absolute value expression. It is defined as f(x) = |x|, which outputs the non-negative value of x.

Front

What is a Quadratic Function?

Back

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

Front

What is an Exponential Function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the general form of a Linear Function?

Back

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the graph of an Absolute Value Function look like?

Back

The graph of an absolute value function forms a 'V' shape, opening upwards.

Front

How do you identify a Quadratic Function from its equation?

Back

A quadratic function can be identified by the presence of the x^2 term in its equation.

Front

What is the key characteristic of an Exponential Function?

Back

The key characteristic of an exponential function is that it grows (or decays) at a rate proportional to its current value.

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, indicating how steep the line is.

Front

What is the y-intercept in a Linear Function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.