Linear, Exponential, Quadratic

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

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. It grows rapidly as x increases.

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

How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change between the x-values and y-values.

Front

How can you identify an exponential function from a table of values?

Back

An exponential function will show a constant multiplicative rate of change between the y-values as x increases.

Front

What is the general shape of a quadratic function when graphed?

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 type of function is represented by the equation y = 3(2^x)?

Back

This is an exponential function.

Front

What type of function is represented by the equation y = 4x + 5?

Back

This is a linear function.

Front

What type of function is represented by the equation y = -x^2 + 6?

Back

This is a quadratic function.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of y with respect to x.