Function Families and Their Graphs

Front

What function family has a graph made up of a straight line?

Back

Linear functions have graphs that are straight lines.

Front

Which function family has a graph with an absolute maximum or minimum?

Back

Quadratic functions have graphs that can have an absolute maximum or minimum.

Front

What is the general form of a linear function?

Back

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

Front

What is the shape of the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c.

Front

What is the defining characteristic of exponential functions?

Back

Exponential functions have a constant ratio of change, and their graphs increase or decrease rapidly.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is f(x) = a * b^x, where a is a constant and b is the base.

Front

What is the domain of a linear function?

Back

The domain of a linear function is all real numbers.

Front

What is the range of a quadratic function?

Back

The range of a quadratic function depends on the direction of the parabola; it can be all real numbers or limited to values above or below the vertex.

Front

What is a key feature of the graph of a quadratic function?

Back

A key feature of the graph of a quadratic function is its vertex, which is the highest or lowest point.