QuestionComplete the sentence below.
If every horizontal line intersects the graph of a function at no more than one point, is function.
If every horizontal line intersects the graph of a function at no more than one point, is function.
composite
inverse
one-to-one
Studdy Solution
STEP 1
1. We are given a condition about the intersection of horizontal lines with the graph of a function.
2. We need to determine which type of function satisfies this condition.
3. The options provided are composite, inverse, and one-to-one.
STEP 2
1. Understand the condition given in the problem.
2. Recall the definitions of the types of functions provided as options.
3. Determine which type of function satisfies the given condition.
STEP 3
Understand the condition given in the problem.
The condition states that every horizontal line intersects the graph of a function at no more than one point. This is known as the Horizontal Line Test.
STEP 4
Recall the definitions of the types of functions provided as options.
- A composite function is a function formed by the composition of two functions.
- An inverse function is a function that reverses the effect of the original function.
- A one-to-one function is a function where each output value is paired with exactly one input value, and it passes the Horizontal Line Test.
STEP 5
Determine which type of function satisfies the given condition.
The Horizontal Line Test is used to determine if a function is one-to-one. If every horizontal line intersects the graph of a function at no more than one point, the function is one-to-one.
Therefore, the correct answer is:
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