Key Features of Linear, Quadratic and Exponential Functions

Front

What are the x- and y-intercepts on a graph?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

What is an asymptote in a graph?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

What is the significance of an x-intercept?

Back

An x-intercept is a point on the graph where the function's value is zero (y=0). It indicates where the graph crosses the x-axis.

Front

How do you find the slope of a line?

Back

The slope is found by taking the difference in y-values divided by the difference in x-values (rise/run).

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph crosses the y-axis (x=0).

Front

What does the vertex of a quadratic function represent?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the general form of a linear function?

Back

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

Front

What is the standard form of a quadratic function?

Back

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

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change (straight line), while quadratic functions have a variable rate of change (parabola).

Front

What is an exponential function?

Back

An exponential function is of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.