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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.)
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How do you find a slope of a line?
That depends upon what you are given - the equation of the line, the coordinates of 2 points on the line, etc.
Sketch a Tangent Functions?
A tangent function is a trigonometric function that describes the ratio of the side opposite a given angle in a right triangle to the side adjacent to that angle. In other words, it describes the slope of a line tangent to a point on a unit circle. The graph of a tangent function is a periodic wave that oscillates between positive and negative values. To sketch a tangent function, we can start by plotting points on a coordinate plane. The x-axis represents the angle in radians, and the y-axis represents the value of the tangent function. The period of the function is 2π radians, so we can plot points every 2π units on the x-axis. The graph of the tangent function is asymptotic to the x-axis. It oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians. The graph reaches its maximum value of 1 at π/4 and 7π/4 radians, and its minimum value of -1 at 3π/4 and 5π/4 radians. In summary, the graph of the tangent function is a wave that oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians, with a period of 2π radians.
What is the trig function of sin with a period of pi an amplitude of 1 and a vertical shift up of 1?
If this is a homework question, please consider trying to answer it on your own first, otherwise the value of reinforcement of the lesson will be lost on you. To determine the trigonometry function of sin, with a period of pi, and amplitude of 1, and a vertical shift of +1, start simple and expand. The period of sin(x) is 2 pi, so to halve that period you need sin(2x). The amplitude of sin(2x) is 2, so to halve that amplitude you need 1/2 sin(2x). To shift any function up by 1, simply add 1 to it, so the final answer is 1/2 sin(2x) + 1. Note: This is very simple when you take it step by step.
Are horizontal blinds better than vertical blinds?
Horizontal blinds look better than vertical blinds, but if privacy is an issue, vertical blinds do a better job.
How do you draw angles greater than 180?
First, if the angle is 360° or more, find the remainder of the angle divided by 360 - this is as 360° represents a full turn. If you have a 360° protractor just measure off the angle. If you only have a 180° protractor, then there are two ways it can be done as the protractor is marked so that 0° - 180° can be measured from either end of the base line: Method 1: excess over 180° 1) Subtract 180° from the angle to get the excess over 180°. 2) Place the protractor on the line, centred on the vertex of the angle on the left of the line, with the top 0°/180° mark on the line. 3) Measure the excess over 180° calculated in step 1 from the bottom 0° mark of the protractor. 4) Draw in the second angle arm - the reflex angle (measured clockwise) is as required. Method 2: acute/obtuse angle of the reflex angle to complete a full turn 1) Subtract the angle from 360° to get the angle which completes the full turn 2)Place the protractor on the line, centred on the angle vertex on the left of the line, with the top 0°/180° mark on the line. 3) Measure the angle to complete the full turn calculated in step 1 from the top 0° mark of the protractor (on the line). 4) Draw in the second angle arm - the reflex angle (measured clockwise) is as required. The above assume a clockwise angle is being drawn from a vertical line with the angle vertex at the bottom. For anticlockwise angles, place the protractor on the right of the line. For a non-vertical line [mentally] rotate the paper so that the first arm of the angle is vertical with the angle vertex at the bottom.
What is the only type of line that is not a function?
A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.
Can a one to one function not be a function?
"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " - In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.
What does a vertical line tell you?
A vertical line can be used to test whether or not a graph is a function.
How do you use the vetical line test to determine a function?
f(x) = x2 This is a function by the vertical line test because a vertical line drawn through this function will only intersect the function at one point
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
What do you call a function whose graph is a non-vertical line?
It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.
What is the horizantal line test and vertical line test?
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.
Can you determine whether the inverse of a function is a function by using vertical line test?
Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.
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.
How do you use a vertical line test to determine if a graph represents a function?
A vertical test line is useful because, by definition, a function has one and only one result value for each input value. If you can find a vertical line that intersects the curve of the line, then it is not a function. A simple example is a circle.
Does a sideways parabola represent a function?
No, it does not. You can tell if something is a function or not by using the vertical line test. If there is more than one point at any vertical line, it is not a function.
How do you determine weather the graph represent a function?
The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.
