Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

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

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What does it mean to evaluate a function?

Back

Evaluating a function means substituting a specific value for the variable in the function and calculating the result.

Front

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

Back

f(-2) = (-2)^2 = 4.

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

If h(t) = 3t - 5, find h(0).

Back

h(0) = 3(0) - 5 = -5.

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 + 1, what is f(3)?

Back

f(3) = 3 + 1 = 4.

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

If f(x) = -x + 4, find f(2).

Back

f(2) = -2 + 4 = 2.