Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters like f, g, or h followed by parentheses containing the input variable, e.g., f(x).

Front

If f(x) = 2x + 5, what is f(3)?

Back

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

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input value.

Front

What is the output of g(x) = x^2 when x = 4?

Back

g(4) = 4^2 = 16.

Front

If h(x) = 5x - 2, what is h(0)?

Back

h(0) = 5(0) - 2 = 0 - 2 = -2.

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.

Front

If f(x) = x^2 + 3, what is f(-1)?

Back

f(-1) = (-1)^2 + 3 = 1 + 3 = 4.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and are represented by a straight line (e.g., f(x) = mx + b). Quadratic functions have a variable rate of change and are represented by a parabola (e.g., f(x) = ax^2 + bx + c).

Front

If j(x) = 3x + 4, what is j(-2)?

Back

j(-2) = 3(-2) + 4 = -6 + 4 = -2.