Key Features of Graphs

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 polynomial function of degree 2, typically in the form y = 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 y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).

Front

What is the maximum value of a function?

Back

The maximum value of a function is the highest point on the graph of the function.

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function.

Front

How do you identify a linear function from a graph?

Back

A linear function will graph as a straight line, showing a constant rate of change.

Front

How do you identify a quadratic function from a graph?

Back

A quadratic function will graph as a parabola, which can open upwards or downwards.

Front

What does it mean if a graph has no maximum or minimum value?

Back

It means the graph continues indefinitely in one or both directions without reaching a peak or trough.

Front

What is the general shape of an exponential function graph?

Back

The graph of an exponential function increases rapidly and has a characteristic curve that approaches the x-axis but never touches it.