3.5 Linear, Quadratic, Exponential

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 and a ≠ 0.

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 a positive real number, and x is the exponent.

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 a quadratic function from a graph?

Back

A quadratic function will graph as a parabola, which opens either upwards or downwards.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does it mean for a function to be 'not a function'?

Back

A relation is 'not a function' if there are any x-values that correspond to more than one y-value.

Front

What is the general shape of a linear function's graph?

Back

The graph of a linear function is a straight line.

Front

What is the general shape of a quadratic function's graph?

Back

The graph of a quadratic function is a parabola.