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Only if y = 0 then it is the entire x-axis. Otherwise, for y = k and k is any number except zero, the graph is parallel to the x-axis and does not intersect.
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What can be used to determine if a graph represents a function?
If the graph is a function, no line perpendicular to the X-axis can intersect the graph at more than one point.
Is Y equals 0 an even or odd function?
f(x) = 0 is a constant function. This particular constant function is both even and odd. Requirements for an even function: f(x) = f(-x) Geometrically, the graph of an even function is symmetric with respect to the y-axis The graph of a constant function is a horizontal line and will be symmetric with respect to the y-axis. y=0 or f(x)=0 is a constant function which is symmetric with respect to the y-axis. Requirements for an odd function: -f(x) = f(-x) Geometrically, it is symmetric about the origin. While the constant function f(x)=0 is symmetric about the origin, constant function such as y=1 is not. and if we look at -f(x)=f(-x) for 1, we have -f(x)=-1 but f(-1)=1 since it is a constant function so y=1 is a constant function but not odd. So f(x)=c is odd if and only iff c=0 f(x)=0 is the only function which is both even and odd.
What is the relantionship between x and y?
On the Cartesian plane x is the horizontal axis and y is the vertical axis and they intersect at right angles at the origin (0,0))
The horizontal asymptote for exponential function is?
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
What is the relationship between a function and its integral?
Let's call the function f and its integral F. If you evaluate F from point a to point b, you will get the area between f and the x-axis. (The area above the x-axis is positive while the area below is negative.) For example, let's say f = 9x2. F (the integral) would then equal 3x3 + C. If we want to find the area between the f and the x-axis from x = 1 to x = 3, we could F from 1 to 3: 3(3)3 - 3(1)3 = 78, so we know that the area between the x-axis and f from x = 1 to x = 3 is 78 square units. (It's all positive in this case, since it's all above the x-axis.) The C in the integral is a constant. It does not matter when you are finding the area under f. If you were to put a number in for C, you would get a function link 3x3 + 7. The derivative if this function is f, so f is the slope, or rate of change, of it's integral. (It doesn't matter what the constant is, since the derivative of a constant is zero. The function 3x3 - 9, for example, has the same derivative.)
The point were x axis and the y axis intersect on a grid?
The origin is where x axis and y axis intersect.
If the discriminant is negative the graph of the quadratic function will cross or touch the x-axis how many times?
It would not touch or intersect the x-axis at all.
Given the function below what is the value of the discriminant and how many times does the graph of this function intersect or touch the x-axis?
Discriminant = 116; Graph crosses the x-axis two times
What can be used to determine if a graph represents a function?
If the graph is a function, no line perpendicular to the X-axis can intersect the graph at more than one point.
Is Y equals 0 an even or odd function?
f(x) = 0 is a constant function. This particular constant function is both even and odd. Requirements for an even function: f(x) = f(-x) Geometrically, the graph of an even function is symmetric with respect to the y-axis The graph of a constant function is a horizontal line and will be symmetric with respect to the y-axis. y=0 or f(x)=0 is a constant function which is symmetric with respect to the y-axis. Requirements for an odd function: -f(x) = f(-x) Geometrically, it is symmetric about the origin. While the constant function f(x)=0 is symmetric about the origin, constant function such as y=1 is not. and if we look at -f(x)=f(-x) for 1, we have -f(x)=-1 but f(-1)=1 since it is a constant function so y=1 is a constant function but not odd. So f(x)=c is odd if and only iff c=0 f(x)=0 is the only function which is both even and odd.
Is the point where the x-axis and the y-axis intersect the origin?
Yes
Does a normal curve ever intersect the x axis?
No
What is the point where the x- and the y-axis intersect?
The origin.
The point where the x axis and y axis intersect?
(0,0) that is the point where the x axis and y axis intersects at Known as the "origin".
If the graph of a linear equation has one point that is both the x and they y intercepts what is that point and why?
If a point is on both the x-axis and the y-axis, then it must be in the only point where the x-axis and y-axis intersect. The point where they intersect is (0,0) which is called the origin.
How many roots does y equals x2 - 4x plus 6 have?
No real roots. Imaginary roots as this function does not intersect the X axis.
Where does the point where a line intersect the x-axis?
When y = 0
