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What else can I help you with?
Are all linear equations functions why or why not?
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
How do you tell if a function with a vertical asympote has a numerator of 1 or a numerator of x?
If there are no coordinates given then you cannot.
Is a vertical asymptote undefined?
Yes, a vertical asymptote represents a value of the independent variable (usually (x)) where a function approaches infinity or negative infinity, and the function is indeed undefined at that point. This is because the function does not have a finite value as it approaches the asymptote. Thus, the vertical asymptote indicates a discontinuity in the function, where it cannot take on a specific value.
How are functions equation slopes and graphs related?
There are some relationships but not all relationships are always true. Any function can be represented by an equation. But all equations are not functions. For example, y = sqrt(x) is the equation of the square root relationship which can be graphed as a parabola on its side, but it is not a function. It has slopes at each point. Some functions can be plotted as graphs but not all. A function such as f(x) = 1 when x is rational, and f(x) = 0 when x is irrational has no slope and cannot be plotted as a graph. A graph of a vertical line is not a function.
How does the vertical line test determine if a graph represents a function?
Functions cannot have two y-values (outputs) for any single x-value (input), so if you can draw a vertical line that touches more than 1 point on the graph, it is not a function.
Are all linear equations functions why or why not?
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
How can you tell if a function is a function?
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
Explain why the equation of a vertical line cannot be in slope-intercept form?
A vertical line on a graph has an infinite slope, and no y-intercept.
What is vertical line test in a function?
If, at any time, a vertical line intersects the graph of a relationship (or mapping) more than once, the relationship is not a function. (It is a one-to-many mapping and so cannot be a function.)
How do you tell if a function with a vertical asympote has a numerator of 1 or a numerator of x?
If there are no coordinates given then you cannot.
What is the slope intercept form when a vertical line is passing through 5 -8?
The slope of a vertical line is undefined and so there cannot be a slope-intercept form of the equation.
Will a function always be a vertical line?
no it won't In fact a function can NEVER be vertical. Not only that, it cannot loop back so that two (or more) points are above one another. For a function, there can be at most one y-value for any x-value so any vertical line will intersect the function at most once.
Is a vertical asymptote undefined?
Yes, a vertical asymptote represents a value of the independent variable (usually (x)) where a function approaches infinity or negative infinity, and the function is indeed undefined at that point. This is because the function does not have a finite value as it approaches the asymptote. Thus, the vertical asymptote indicates a discontinuity in the function, where it cannot take on a specific value.
How can you tell if a graph is a function?
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
How are functions equation slopes and graphs related?
There are some relationships but not all relationships are always true. Any function can be represented by an equation. But all equations are not functions. For example, y = sqrt(x) is the equation of the square root relationship which can be graphed as a parabola on its side, but it is not a function. It has slopes at each point. Some functions can be plotted as graphs but not all. A function such as f(x) = 1 when x is rational, and f(x) = 0 when x is irrational has no slope and cannot be plotted as a graph. A graph of a vertical line is not a function.
Why can you not write an equation of a vertical line?
A vertical line has the equation x = C (a constant value), where y has all values, x has only one value, and the slope is undefined (the run, Δx, is zero, so you cannot divide the rise by the run).
When you are given a graph how can you come up with a rational function equation?
You cannot, necessarily. Given a graph of the tan function, you could not.
