Y for Yes
Chat with our AI personalities
y = 100 - 4x ( a ) Find the value of y when x = 20.
It depends on what y is.
By the definition of continuity, since the limit and f(x) both exist and are equal (to 0) at each value of x, y=0 is continuous. This is true for any constant function.
Oh, what a lovely question! When x is 3, we simply substitute x with 3 in the equation to find the value of y. It's like adding a happy little tree to your painting - just plug in 3 for x and see what beautiful value of y comes out!
The value of each angle put into a trigonometric function results in exactly one output value, because that angle represents a single set of x and y coordinates on the ray at the end of the unit circle. Since the trigonometric functions are all defined as the ratio of x and/or y and/or 1, there can only be one output value for each angle. However, the reverse is not true. As an example, tangent is defined as sine over cosine, or y over x. This means that an angle of theta plus 180 degrees generates the same value, because y over x is the same as -y over -x.