LQE (equations & 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 = ax² + 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 = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How can you identify a Linear Model from a set of data points?

Back

A linear model can be identified if the data points form a straight line when plotted on a graph.

Front

How can you identify a Quadratic Model from a set of data points?

Back

A quadratic model can be identified if the data points form a parabolic shape when plotted on a graph.

Front

What is the general shape of a Quadratic Graph?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient a.

Front

What does the slope of a Linear Function represent?

Back

The slope of a linear function represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the significance of the y-intercept in a Linear Function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is the difference between Linear and Exponential Growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage, leading to faster growth over time.

Front

What is the vertex of a Quadratic Function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction the parabola opens.