Functions Types: Graphs

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials, where the denominator is not zero.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is an absolute value function?

Back

An absolute value function is a function that returns the non-negative value of its argument, typically written as f(x) = |x|.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically written in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a radical function?

Back

A radical function is a function that contains a variable within a radical (square root, cube root, etc.), typically written as f(x) = √x or f(x) = x^(1/n).

Front

What is a logarithmic function?

Back

A logarithmic function is the inverse of an exponential function, typically written as f(x) = log_b(x), where b is the base.

Front

How do you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which opens either upwards or downwards.

Front

What is the general form of a rational function?

Back

The general form of a rational function is f(x) = P(x)/Q(x), where P(x) and Q(x) are polynomials.

Front

What is the significance of the vertex in 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.