Function Notation Practice

Front

What does h(4) = 5 mean in the context of the function h(t) representing the height of a plant after t weeks?

Back

After 4 weeks, the plant is 5 inches tall.

Front

How do you express that it was warmer at 9 a.m. than at 6 a.m. using function notation for f(t) representing temperature?

Back

f(9) > f(6)

Front

Given the function f(x) = -4x - 10, what is x when f(x) = 10?

Back

x = -5

Front

What does c(7) represent in the function c(m) = 1.45m + 3.50, which gives the cost of a taxi for m miles?

Back

The cost to ride 7 miles.

Front

What is the definition of a function?

Back

A function is a relation such that each input has just one output.

Front

What is function notation?

Back

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

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 7.

Front

What does it mean if f(a) = f(b)?

Back

It means that the outputs of the function for inputs a and b are equal.

Front

What is the domain of a function?

Back

The domain 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 is the set of all possible output values (y-values) that a function can produce.