Matthews - Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the output of f(x) = 5x - 2 for f(1)?

Back

f(1) = 5(1) - 2 = 3.

Front

What is the range of the function f(x) = 5x - 2?

Back

The range is (−∞, ∞) because it is a linear function.

Front

How do you identify if a function is increasing, decreasing, or constant?

Back

A function is increasing if the output values rise as the input values increase, decreasing if the output values fall, and constant if the output values remain the same.

Front

What does the notation (0, ∞) represent?

Back

It represents all real numbers greater than 0.

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞) because the output is always non-negative.

Front

What is the output of f(x) = 3x + 1 for f(2)?

Back

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

Front

What does the notation [-2, 10] represent?

Back

It represents all real numbers from -2 to 10, including -2 and 10.

Front

What is the difference between an increasing function and a decreasing function?

Back

An increasing function has outputs that rise as inputs increase, while a decreasing function has outputs that fall as inputs increase.

Front

What is the output of f(x) = 2x - 4 for f(3)?

Back

f(3) = 2(3) - 4 = 2.