Function Families

Front

What is a function family?

Back

A group of functions that share common characteristics and can be represented by similar equations.

Front

What is a linear function?

Back

A function that can be represented by a straight line on a graph, typically in the form y = mx + b.

Front

What is an exponential function?

Back

A function in which the variable is in the exponent, typically in the form y = a * b^x, where b > 0.

Front

What is a quadratic function?

Back

A function that can be represented by a parabolic graph, typically in the form y = ax^2 + bx + c.

Front

What is an absolute value function?

Back

A function that describes the distance of a number from zero on the number line, typically in the form y = |x|.

Front

How can you identify a linear function from its graph?

Back

A linear function will produce a straight line with a constant slope.

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function will produce a parabolic shape, opening either upwards or downwards.

Front

How can you identify an exponential function from its graph?

Back

An exponential function will show rapid growth or decay, creating a curve that increases or decreases sharply.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.