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Square Root Function

Basic Functions Presentation
by

Bella (:

on 28 September 2012

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Transcript of Square Root Function

WHEN? When
was it discovered? Notes Real-World
Application NO Notes S _ _ _ _ _ _ _ _ _ _ q r a e o o WHO? BELOW The Cost to Acquire a Customer (CAC) exceeds the Life Time Value (LTV) a customer brings us. This is my third go-around selling to large enterprises, SkyStream, Kontiki and now Qumu.

I like to explain to you the problem the way I see it, the changes I suggest to avoid making the same mistake again. and Travels to Clients Graph of Square Root Function Real World App. Who Discovered it? See the trend? Parent Function EDITOR NOTE: This is CANDY to encourage people to discover outside the set path ... Square Root The Function P r e s e n t a t i o n b y B e l l a A b r i l K a t y B a c o n D a v i d H a r d e n f(x) = √ x -2 -1 0 1 2 undefined undefined 0 1 1.4142 Table with Integers from [-2,2] x [0, ∞ + ) Domain of Parent Function Range of a Parent Function [0, ) ∞ + The graph increases from [ 0 , ) + ∞ The function is Continuous! Bounded Local Extrema NOT Symmetrical
Asymptote! End Behavior Interesting Fact: Put any positive number into your calculator, take the square root, then take the square root again, then take it again, and so on. Eventually, you will always get 1. Babylonians No particular individual is known to have discovered the square root function; the idea itself had always existed since ancient times. However, the earliest period recorded when square roots were used was during the Babylonian Era. The Babylonians actually had an accurate and simple method for finding the square roots of numbers; it was called Heron's method. Between 1800 BC
and 1600 BC Clay tablets from the Babylonian civilization containing square roots and cube roots dates back to the time period between 1800 BC and 1600 BC. - Electrical engineers use it in calculating power factor and electrical load distribution when dealing with 3 phase power connections. - Pythagorean Theorem - Carpenters, engineers, architects, and construction workers, etc. - Any job needing to EVER solve anything for a right triangle can use the square root function. Specific Example: y Thank you for
watching/listening! Domain: All real numbers greater than or equal to zero. Range: All real numbers greater than or equal to zero. by the x-axis Absolute Minimum: [ 0 , 0 ] NO Absolute/Local
Extrema As x → ∞, y → ∞ As x → 0 , y → 0 + There is a vertical tangent line at the point (0,0).
That is, if you imagine yourself walking along the graph, going from left to right, then at the instant you start off at the point (0,0), you will be traveling vertically.
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