Asked by: Zhijie Ammersdorfer
science space and astronomy

How do you know when Y is a function of x?

Last Updated: 1st May, 2020

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We know that y is a function of x becausefor each x-coordinate there is exactly oney-coordinate. If we draw a vertical line across the plot ofthe function, it only intersects the function oncefor each value of x. Yes, this graph is afunction.

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Thereof, how do you know if Y is a function of x?

The Horizontal Line Test The x value of a point where a vertical lineintersects a function represents the input for that outputy value. If we can draw any horizontal line thatintersects a graph more than once, then the graph does notrepresent a function because that y value has morethan one input.

Likewise, how do you know if something's not a function? ANSWER: Sample answer: You can determine whethereach element of the domain is paired with exactly one element ofthe range. For example, if given a graph, you could use thevertical line test; if a vertical line intersects the graphmore than once, then the relation that the graph represents isnot a function. 56.

Secondly, what does it mean when Y is a function of x?

The phrase "y is a function of x" meansthat the value of y depends upon the value of x, so:y can be written in terms of x (e.g. y = 3x ).If f(x) = 3x, and y is a function of x (i.e. y= f(x) ), then the value of y when x is 4 isf(4), which is found by replacing x"s by 4"s .

How do you determine whether the relation is a function?

Determining whether a relation is afunction involves making sure that for every input there isonly one output. In order for a relation to be called afunction, each X value must have exactly one Y value. X hasto have exactly one Y value.

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How do you prove a function is one to one algebraically?

One-to-one is often written 1-1. Note: y = f(x)is a function if it passes the vertical line test. It is a1-1 function if it passes both the vertical line test andthe horizontal line test. Another way of testing whether afunction is 1-1 is given below.

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What makes a graph a function?

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How do functions work?

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Is a circle a function?

So the question is whether there's a functionwhose graph is the circle. The answer is no, because eachvalue in the domain is associated with exactly one point in thecodomain, but a line passing through the circle generallyintersects the circle at two points.

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What is a relation in math?

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What makes a relation a function?

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What does Y mean in an equation?

In the equation of a straight line (when theequation is written as "y = mx + b"), the slope isthe number "m" that is multiplied on the x, and "b" is they-intercept (that is, the point where the line crossesthe vertical y-axis).

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What does F (- X mean?

The expression "f (x)" means "aformula, named f, has x as its input variable". Itdoes not mean "multiply f and x"! Don'tembarrass yourself by pronouncing (or thinking of) "f(x)" as being "f times x", and never try to"multiply" the function name with its parenthesisedinput.

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Is a horizontal line a function?

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