Matching Parent Functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the parent function of absolute value?

Back

The absolute value function is defined as f(x) = |x|, which outputs the non-negative value of x.

Front

What is a quadratic function?

Back

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

Front

What is the parent function of a cubic function?

Back

The cubic function is defined as f(x) = x^3, which represents the relationship between x and its cube.

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials, typically in the form f(x) = p(x)/q(x), where p and q are polynomials.

Front

What is the parent function of a square root function?

Back

The square root function is defined as f(x) = √x, which outputs the non-negative square root of x.

Front

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

Back

The graph of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.

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.

Front

How do you identify a linear function from its graph?

Back

A linear function's graph is a straight line, and it has a constant slope.

Front

What is the domain of a square root function?

Back

The domain of a square root function is all non-negative real numbers, as the square root of a negative number is not defined in the real number system.