Evaluating functions CW

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What does it mean to evaluate a function?

Back

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

Front

What is the notation for a function?

Back

Functions are typically denoted as f(x), where 'f' is the function name and 'x' is the input.

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

How do you find f(-1) if f(x) = 2x - 3?

Back

f(-1) = 2(-1) - 3 = -2 - 3 = -5.

Front

Evaluate f(x) = 3x + 4 when x = 2.

Back

f(2) = 3(2) + 4 = 6 + 4 = 10.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of y when x = 0; it is where the graph intersects the y-axis.