Answered: 2 = (2x-3) ²/3

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Was looking at the solution explanation in the textbook portion of bartleby but not understanding how they calculated that the x-axis is cut at x=1.5…can I get this broken down into very small parts please ?? how would I know that is what the graph looks like without plotting points? thank you!!

2/3
f(x) = (2x - 3)²²²
Where is this
function continuous?

Expert Solution

Step 1: x intercept

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis.

at x intercept, y coordinate is zero.

Given

$f left parenthesis x right parenthesis equals open parentheses 2 x minus 3 close parentheses to the power of 2 over 3 end exponent y equals open parentheses 2 x minus 3 close parentheses to the power of 2 over 3 end exponent t o space f i n d space p o i n t space a t space w h i c h space g r a p h space c u t space x space a x i s space comma space p u t space y equals 0 0 equals open parentheses 2 x minus 3 close parentheses to the power of 2 over 3 end exponent 0 equals open parentheses 2 x minus 3 close parentheses 2 x equals 3 x equals 3 over 2 x equals 1.5$

at x=1.5 graph cut x axis.