What will this look like when I try to find the inverse algebraically? The Vertical Line Test says that I can't have two y's that share an x-value. That is, each x has to have a UNIQUE corresponding y value. But look at what happens when I try to solve for "x=": My original...
because some graphs that have the “many to one” situation aren’t necessarily going to be functions; There may be other places (i.e. a couple of other coordinate points) that connect vertically, therefore disqualifying it as a function. These “rules” can also bedifficult to remember...
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Now that we are seeing diffusion over an infinite domain and the Heaviside step function the natural conclusion of which method to use here is simple we use the convolution method: u(x,τ)=12πσ2τ∫−∞∞u0(y)exp(−(x−y)22σ2τ)dy This can be algebraically manipulated ...
Exponential functions have the variable x in the power position. For example, an exponential equation can be represented by: f(x) = bx. Like other algebraic equations, we are still trying to find an unknown value of variable x. One way to think of exponential functions is to think about ...
how can I find the range of the function ?? I don't know a method to get the range of any function without the graph. But all I can say that for some functions I can get its range by first computing the inverse of the function , and this is the problem itself because in sometime...
How do you find the natural log of a number? Inverse Functions For every operation there is another operation that undoes it. Addition undoes subtraction and multiplication undoes division. Logarithmic operations also have inverse functions. Take the log of number and then raise 10 to that number...
How to find Median To find the median, simply line up all your numbers from smallest to biggest, and then pick the one right in the middle. But here comes the tricky part. If you have an odd number set, the median is just the one in the middle. However, if you have an even numb...
How do you find exact values for the sine of integer angles? Here is one way of going about it. Background Let’s find someexact valuesusing some well-known triangles. Then we’ll use these exact values to answer the above challenges. ...