Functions Flashcard Review

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function. It can be represented as -∞ if the function decreases indefinitely.

Front

What are all of the x values or inputs of a function called?

Back

Domain

Front

Given the function f(x) = -4x - 10, find x when f(x) = 10.

Back

x = -5

Front

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

Back

After 4 weeks, the plant is 5 inches tall.

Front

What is the increasing interval for the function if it is defined as -∞ < x < 2?

Back

The increasing interval is -∞ < x < 2.

Front

What is the range of a function?

Back

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

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between domain and range?

Back

Domain refers to all possible input values (x-values) of a function, while range refers to all possible output values (y-values).

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.