The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
A Guassian function has a top in the middle and it's ends reach until infinity but the graph never touches the x axis. The location of the top depends on the parameters used.
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The graph of the absolute value parent function, ( f(x) = |x| ), has a V-shape with its vertex at the origin (0, 0). It is symmetric about the y-axis, indicating that it is an even function. The graph consists of two linear segments that extend infinitely in the positive y-direction, with a slope of 1 for ( x \geq 0 ) and a slope of -1 for ( x < 0 ). Additionally, it never dips below the x-axis, as absolute values are always non-negative.
A line that a function approaches but never actually reaches is called an asymptote. Asymptotes can be vertical, horizontal, or oblique, depending on the behavior of the function as it approaches certain values or infinity. They provide insight into the long-term behavior of the function without being part of its graph.
No, a circle graph is never a function.
asymptote
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
It is because a function is defined as a relation which cannot be one-to-many.
A Guassian function has a top in the middle and it's ends reach until infinity but the graph never touches the x axis. The location of the top depends on the parameters used.
Answer this question… each input value is mapped to a single output value. Apex
No. The fact that it is an asymptote implies that the value is never attained. The graph can me made to go as close as you like to the asymptote but it can ever ever take the asymptotic value.
Yes, because you can rewrite it as: y = -x/10 Which is a line. When you graph the above equation, the graph passes the vertical line test - meaning that the graph never intersects with any vertical line more than once.
That is simply a result of the definition of a function. A function is a mapping such that for each value of x there is only one value of y.
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
Never. You can use a column graph, or a scatter graph or even a superimposition of the two but there a column scatter graph does not exist.
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