It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.
There is no such thing as exactly vertical because either it is vertical or it is not. You cannot have approximately vertical - it is not vertical, then. Vertical means at 90 degrees to the horizon (or horizontal).
Exactly as it is because 8.98 is a rational number
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
A relation is a function if each input (or domain value) is associated with exactly one output (or range value). To determine this, you can check if any input value appears more than once in the relation; if it does, the relation is not a function. Additionally, in a graph, a relation is a function if it passes the vertical line test—if any vertical line intersects the graph at more than one point, it is not a function.
To determine if a line on a graph represents a function, you can use the vertical line test. If any vertical line drawn through the graph intersects the line at more than one point, then it is not a function. Conversely, if every vertical line intersects the graph at most once, it confirms that the line is indeed a function. This test helps ensure that each input (x-value) corresponds to exactly one output (y-value).
A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function
There is no such thing as exactly vertical because either it is vertical or it is not. You cannot have approximately vertical - it is not vertical, then. Vertical means at 90 degrees to the horizon (or horizontal).
A function takes one input and assigns to it exactly one output, so a graph qualifies as a function if it passes the vertical line test (run a vertical line across the entire plane; the function should only cross your line once no matter where you are testing).
Exactly as it is because 8.98 is a rational number
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
A relation is a function if each input (or domain value) is associated with exactly one output (or range value). To determine this, you can check if any input value appears more than once in the relation; if it does, the relation is not a function. Additionally, in a graph, a relation is a function if it passes the vertical line test—if any vertical line intersects the graph at more than one point, it is not a function.
To determine if a line on a graph represents a function, you can use the vertical line test. If any vertical line drawn through the graph intersects the line at more than one point, then it is not a function. Conversely, if every vertical line intersects the graph at most once, it confirms that the line is indeed a function. This test helps ensure that each input (x-value) corresponds to exactly one output (y-value).
13 is an integer. All integers are rational.
Any number which can be written exactly with a limited set of figures is "rational". Numbers which cannot be written with a limited set, because the decimal number goes on for ever is "irrational". So 1.4 is rational because it takes only 2 figures to write its value exactly.
The answer to the question depends on exactly how the decimal expansion proceeds. If it is non-repeating, then the number is not rational.
The definition of a function is "A relation in which exactly one element of the range is paired with each element of the domain." This means that in the relationship of a function, each range element (x value) can only have one domain element (y value). If you draw a vertical line and it crosses your graph twice, then you can see that your x value has two y values, which is not a function.
I believe it is a function, because a vertical line would only cross it once.