How do you graph y=5sqrtx?

1 Answer
Aug 28, 2016

You asked "how do you graph". This has been provided.

Explanation:

Consider this example:

2^2=4

The thing is; (-2)xx(-2) = +4" so "sqrt(4) could be -2

Also (+2)xx(+2)=+4" so "sqrt(4) could be +2 as well

Thus we have sqrt(4)=+-2
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So for your question:
y=5sqrt(x) in fact is y=+-5sqrt(x)

color(magenta)("The trap")

Suppose x is negative. Then the square root takes you into the realm of complex numbers.

color(red)("Assumption: "x" is not negative.")
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Build a table of values calculating what y is for the selected values of x. Remembering that x is not negative.

Note that for each value of x there will be corresponding values of +-y

Plot the points and draw a line through the points as best as you can.

Tony BTony B

Tony BTony B