Not all relations are straight lines when graphed. The graphs of some relations are curved lines. Use the_______vertical _______horizontal line test to determine whether these types of relations are functions.
Question
Not all relations are straight lines when graphed. The graphs of some relations are curved lines. Use the_______vertical _______horizontal line test to determine whether these types of relations are functions.
Solution
Use the vertical line test to determine whether these types of relations are functions.
Here are the steps:
- Draw or imagine a vertical line that passes through any point on the graph of the relation.
- If the vertical line intersects the graph at more than one point, then the relation is not a function.
- If the vertical line only intersects the graph at one point, no matter where the line is drawn, then the relation is a function.
The horizontal line test is used to determine if a function is one-to-one, not whether a relation is a function.
Similar Questions
We can determine whether a relation is a function by looking at itsgraph.→ No ______ points on the graph can have the same __-coordinate(lie on the same __________________ line).→ If a __________________ line drawn on the graph of any functiontouches two points, then the graph does not representa function. (called the ____________________ line test)❖ The only type of straight line that graph fails the vertical line test is a __________________ line.
A ________________ line is defined by theequation x = a, where a is any real number.A relation represented by x = a:is a function.is not a function.If we graph y = a, the graph will be a _________________line.A relation represented by y = a:is a function.is not a function.Which of these relations are functions?𝑦 = 5𝑦 = 2𝑥 − 5𝑥 = −22𝑦 = 𝑥 − 4
If we graph y = a, the graph will be a _________________line.A relation represented by y = a:is a function.is not a function
Which of the relations is not a function?
Decide if the following statement about functions is true or false:All relations are functions.
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