Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Review - Concept Check - Page 68: 2

Answer

$1.$ Verbal Simple verbal representation of how we get an output from a function for a given input. $2.$ Algebraic An algebraic expression of a function is just a formula that includes a variable. $3.$ Visual Visual representation of a function is the same as a graph of a function. $4.$ Numerical Numerical representation is the same as a table of values.

Work Step by Step

$1.$ Verbal For example: "To calculate the area of a triangle, we have to multiply its height by the base (the base that is connected to the height) and then divide by $2$" $2.$ Algebraic Surface area of a sphere: $A(r)=4\pi r$ Algebraic expression of a function is just a formula that includes a variable. $3.$ Visual Visual representation of a function is the same as a graph. For example, in the image below you can see visual representation of $f(x)=2x^3$ $4.$ Numerical Numerical representation is the same as a table of values. For example, we can write a relation of total cost of a product for a given weight: Weight - $w$ $kg$ Cost - $C$ $\$$ $w=0.5$ $C=1.5$ $w=1$ $C=3$ $w=1.5$ $C=4.5$ $w=2$ $C=6$ $w=3$ $C=9$
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