Does the function YFX always crosses the y-axis?

Does the function YFX always crosses the y-axis?

The answer is FALSE. Not all function y=f(x) y = f ( x ) always crosses the y-axis.

Can a function not cross the y-axis?

A function having more than one y-intercept would violate this, since it would mean that there are two outputs for x=0. Therefore, it is not possible for a function to have more than one y-intercept. This function never crosses the y-axis because, since you can’t divide by zero, it is undefined at x=0.

Does every function cross the y-axis once?

The y-intercept of the line is b. This is the y value where the line crosses the y-axis (when the x = 0). In the graph here, the slope is 1 and b is +2. Notice that a line crosses each axis only once (at most).

Can a function cross the y-axis more than once?

The y-intercept of a function is the point at which the graph of the function crosses the y-axis. Although a function can have many x-intercepts, a function can only have one y-intercept.

Does every graph represent a function?

Every graph represents a function. A. The statement is true because every graph associates a unique x-value for each y-value. The statement is false because a graph that crosses the y-axis two times does not represent a function.

Can a graph have no y-intercept?

A line can have no x-intercept or no y-intercept, but not both. The x-intercept is where a line crosses the x-axis. For example, a vertical line such as x=−4 has an x-intercept of (−4,0) , but there is no y-intercept because the line does not cross the y-axis.

Is the graph of a straight line always a function?

No, every straight line is not a graph of a function. Nearly all linear equations are functions because they pass the vertical line test.

Which functions have y-axis symmetry?

A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function.

What does an even function graph look like?

If a function is even, the graph is symmetrical about the y-axis. If the function is odd, the graph is symmetrical about the origin. Even function: The mathematical definition of an even function is f(–x) = f(x) for any value of x. The simplest example of this is f(x) = x2 because f(x)=f(-x) for all x.

Is it possible for a function to have more than one Y intercept?

The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . )

How do you graph a YFX function?

Starts here3:11Quick! Graph y=-f(x) for any f(x) – YouTubeYouTube