4. Interpret Function Notation

Front

What does function notation represent in mathematics?

Back

Function notation is a way to denote a function that relates an input to an output, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

What does S(7) represent in the context of a babysitter's salary function S?

Back

S(7) represents the salary of a babysitter who worked 7 hours.

Front

If f(x) = -2, how do you find the value of x?

Back

To find the value of x when f(x) = -2, you need to solve the equation f(x) = -2 for x.

Front

What is the output of g(2) if g(x) = 3x + 1?

Back

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

Front

How do you interpret F(6) in the context of a function showing distance traveled by a car?

Back

F(6) represents the distance traveled by the car after 6 hours, which is estimated to be 240 miles.

Front

What does f(2) = 80 signify in the context of a baseball's speed function?

Back

f(2) = 80 means that after 2 seconds, the baseball is traveling at a speed of 80 miles per hour.

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 can you determine the output of a function for a given input?

Back

To determine the output of a function for a given input, substitute the input value into the function's equation and simplify.

Front

What is the significance of the input variable in function notation?

Back

The input variable in function notation represents the value that is fed into the function to produce an output.

Front

What does it mean if a function is defined as f(x) = k, where k is a constant?

Back

If a function is defined as f(x) = k, it means that for any input x, the output will always be the constant value k.