Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by the input variable in parentheses, such as f(x).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation. For example, to find f(2) in f(x) = 3x + 1, substitute 2 for x: f(2) = 3(2) + 1 = 7.

Front

What does f(-3) represent?

Back

f(-3) represents the value of the function f when the input is -3. It is found by substituting -3 into the function's equation.

Front

If f(x) = -4x - 10, what is f(10)?

Back

f(10) = -4(10) - 10 = -40 - 10 = -50.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write an equation for a real-world scenario?

Back

To write an equation for a real-world scenario, identify the variables involved, determine the relationship between them, and express it in the form of a function.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the output value changes for a unit change in the input value.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of the function when the input is zero. It is the point where the graph of the function crosses the y-axis.

Front

If f(x) = 9, what does this mean?

Back

This means that for any input x, the output of the function f is always 9, indicating a constant function.

Front

How do you find the output of a function when given an equation?

Back

To find the output, substitute the given input value into the function's equation and simplify.