Enter effect in LOG

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How to Enter effect in LOG

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- [Narrator] Could you imagine what it would be like to live your entire life confined in a mechanical box, one thats just big enough to fit your body into? What if you couldnt move, eat, or even breathe without it? Sounds like a waking nightmare, right? Well, for Paul Richard Alexander, this isnt a bad dream, but the stark reality of his life. Since 1952, Paul has spent every waking moment trapped inside this machine. But how could this possibly happen? Well, to find out, lets take a look at the life of a man whos been locked inside a machine for almost 70 years. To understand Pauls predicament, first we need to understand polio, the virus that Paul contracted at the age of just six. Polio, short for poliomyelitis, is a life-threatening disease that can infect a persons spinal cord. In severe cases, this causes paralysis where sufferers cant move parts of their body and become incredibly weak. This terrifying condition affects about one in every 200 sufferers, leaving many wi

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How does a base effect a log graph?

From this analysis, it can be concluded that as the base of a logarithmic function increases, the graph approaches the asymptote of x = 0 quicker. Also, the function may increase at a slower rate as the base increases.

How can I transform log functions?

Recall the general form of a logarithmic function is: f ( x ) = k + a log b ⁡ where a, b, k, and h are real numbers such that b is a positive number 1, and x - h 0. A logarithmic function is transformed into the equation: f ( x ) = 4 + 3 log ⁡ .

How do you stretch a log function?

Graphing Stretches and Compressions of y=logb(x) When the parent function f(x)=logb(x) f ( x ) = l o g b ( x ) is multiplied by a constant a 0, the result is a vertical stretch or compression of the original graph.

How do you stretch a function?

We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).

What is the inverse of log?

We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e^y.

How do you tell if a log is increasing or decreasing?

Properties of logarithmic function. log a x = log a z if and only if x = z. If a 1 then the logarithmic functions are monotone increasing functions. If 0 a 1 then the logarithmic functions are monotone decreasing functions. If a 1 and x + then log a x + . If 0 a 1 and x + then log a x .

How do you find the vertical stretch of a log function?

Graphing Stretches and Compressions of y=logb(x) When the parent function f(x)=logb(x) f ( x ) = l o g b ( x ) is multiplied by a constant a 0, the result is a vertical stretch or compression of the original graph.

How do you dilate a logarithmic function?

1:55 10:16 Dilations of Logarithmic Functions - YouTube YouTube Start of suggested clip End of suggested clip So vertical dilations happen when you have something like this equation f of X equals C times theMoreSo vertical dilations happen when you have something like this equation f of X equals C times the log of base B of X.

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