Function Practice and Identifying Functions

Front

What is a cubic function?

Back

A cubic function is a polynomial function of degree three, typically in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What is an absolute value function?

Back

An absolute value function is a piecewise function 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 two, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is a square root function?

Back

A square root function is a function of the form f(x) = √x, which outputs the non-negative square root of x.

Front

How do you evaluate f(x) = 1/2x at x = 40?

Back

f(40) = 1/2 * 40 = 20.

Front

How do you evaluate f(x) = 2x + 5 at x = 3?

Back

f(3) = 2*3 + 5 = 6 + 5 = 11.

Front

How do you evaluate f(x) = 1/2x + 5 at x = 10?

Back

f(10) = 1/2 * 10 + 5 = 5 + 5 = 10.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.