CAASP Review Functions Part 1

Front

What is the domain and range of a function that outputs all real numbers greater than 0?

Back

The domain is all real numbers, and the range is all real numbers greater than 0.

Front

In a multiple-choice question, if the correct answers are 'a' and 'c', what does this imply about the options?

Back

It implies that both options 'a' and 'c' are correct answers to the question.

Front

What does the notation a < 0 and c > 0 signify in a mathematical context?

Back

It signifies that the variable 'a' is less than 0 and the variable 'c' is greater than 0.

Front

If a question states that the correct answers are 'b', 'c', and 'e', what does this indicate?

Back

It indicates that options 'b', 'c', and 'e' are all correct answers to the question.

Front

What is the period of a function that is described as having a period of 60 minutes?

Back

The period is the duration it takes for the function to complete one full cycle, which is 60 minutes.

Front

What is amplitude in the context of a periodic function, and what is the amplitude if it is given as 0.15 m?

Back

Amplitude is the maximum extent of a periodic function from its mean position. In this case, the amplitude is 0.15 m.

Front

Define the term 'function' in mathematics.

Back

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

Front

What is the significance of identifying the domain of a function?

Back

Identifying the domain of a function is crucial as it defines the set of possible input values for which the function is defined.

Front

Explain the concept of range in relation to functions.

Back

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

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.