Multiple Choice
What is 15% of 20?
0. Functions
Introduction to Functions
Struggling with Business Calculus?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Which of the following is a characteristic of a function in the context of business calculus?
A
Each output has exactly one input.
B
Each input has exactly one output.
C
Inputs can have multiple unrelated outputs.
D
Outputs are always greater than inputs.
Verified step by step guidance1
Understand the definition of a function: In mathematics, a function is a relationship between inputs (domain) and outputs (range) where each input is associated with exactly one output.
Analyze the first statement: 'Each output has exactly one input.' This is incorrect because a function can have multiple inputs that produce the same output. For example, in the function f(x) = x^2, both x = 2 and x = -2 produce the same output, f(x) = 4.
Analyze the second statement: 'Each input has exactly one output.' This is correct because it aligns with the definition of a function. For every input value, there is only one corresponding output value.
Analyze the third statement: 'Inputs can have multiple unrelated outputs.' This is incorrect because it violates the definition of a function. A function cannot assign more than one output to a single input.
Analyze the fourth statement: 'Outputs are always greater than inputs.' This is incorrect because it is not a general characteristic of functions. For example, in the function f(x) = x - 5, the output can be less than the input depending on the value of x.
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