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. It shows rapid growth or decay.

Front

What is the domain of a linear function?

Back

The domain of a linear function is all real numbers, often represented as (-∞, ∞).

Front

What is the range of a linear function?

Back

The range of a linear function is also all real numbers, represented as (-∞, ∞).

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which opens either upwards or downwards. It has a vertex and may have x-intercepts.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

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

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

What is the range of a quadratic function?

Back

The range of a quadratic function depends on the direction of the parabola: if it opens upwards, the range is [k, ∞) where k is the minimum value; if downwards, (-∞, k].

Front

What is a sine function?

Back

A sine function is a periodic function defined as f(x) = sin(x), which oscillates between -1 and 1.