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.

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.

Front

Identify the type of function: y = 3x + 2.

Back

Linear function.

Front

Identify the type of function: y = x^2 - 4x + 4.

Back

Quadratic function.

Front

Identify the type of function: y = 2^x.

Back

Exponential function.

Front

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

Back

A parabola, which can open upwards or downwards depending on the sign of the coefficient a.

Front

What does the slope in a linear function represent?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of the quadratic function, depending on its orientation.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in y = mx + b.