Linear, Quadratic, or Exponential (REVIEW) m3hs23

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

Identify the general form of a quadratic function.

Back

The general form of a quadratic function is f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).

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 the base (b > 0, b ≠ 1), and x is the exponent.

Front

How does an exponential function differ from a linear function?

Back

An exponential function grows or decays at a rate proportional to its current value, while a linear function grows at a constant rate.

Front

What is the growth factor in an exponential function?

Back

The growth factor is the base 'b' in the function f(x) = a * b^x, which determines how quickly the function increases.

Front

What is a linear function?

Back

A linear function is a polynomial function of degree 1, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a linear function?

Back

The slope (m) represents the rate of change of the function, indicating how much y changes for a unit change in x.