Interpreting Function Notation

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function f for a given input x.

Front

If f(x) = -2, what does it mean if x = 8?

Back

It means that when the input to the function f is 8, the output is -2.

Front

What is the meaning of C(2) = 100 in the context of the function C(x) = 25x + 50?

Back

C(2) = 100 means that the labor cost for Contractor A is $100 for 2 hours of labor.

Front

How do you evaluate a function at a specific point, such as j(-1) for j(x) = 2x + 3?

Back

To evaluate j(-1), substitute -1 for x: j(-1) = 2(-1) + 3 = 1.

Front

What does the notation f(4) indicate?

Back

f(4) indicates the output of the function f when the input is 4.

Front

How can you interpret the graph of a function?

Back

The graph of a function shows the relationship between the input (x-axis) and the output (y-axis) values.

Front

What is the significance of the slope in a linear function like C(x) = 25x + 50?

Back

The slope (25) represents the rate of change of the labor cost per hour of labor.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What is the output of the function f(x) if f(x) = 2x + 1 and x = 3?

Back

f(3) = 2(3) + 1 = 7.

Front

How do you find the y-intercept of a linear function?

Back

The y-intercept is found by evaluating the function at x = 0.