D7U1 Interpreting Function Notation

Front

What does the notation w(7) = 4 represent in the context of a function that gives the weight of a cat in kilograms based on its age in months?

Back

The cat weighs 4 kilograms when it is 7 months old.

Front

What does f(6) = 30 mean in the context of a function representing the revenue from selling books?

Back

When 6 books are sold, the store makes $30.

Front

If f(x) = 10x + 28 represents the total cost for x students going to an amusement park, what does f(10) = 128 mean?

Back

It costs $128 for 10 students to go on the trip.

Front

What does the function R(x) represent if R is the total rainfall in cm after x hours?

Back

R(x) gives the total rainfall in cm after x hours.

Front

If f = {(0,2), (1,1), (2,3)}, what is f(2)?

Back

f(2) = 3.

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the function and x is the input.

Front

How do you interpret the output of a function?

Back

The output of a function represents the value of the dependent variable based on the input value of the independent variable.

Front

What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input (x), while the dependent variable is the output (f(x)).

Front

What does it mean if a function is linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.