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she reaches her destination.One the set of axes below, draw a graph that models the driver's distance from home.3001240180Distance (miles)120601423Time (hours)

User Mahesh Jadhav
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1 Answer

15 votes
15 votes

Weare given a piecewise function that is defined as the absolute value of x when x is less than 1; and squre root of x when x is larger than or equal to one.

So we recall that the absolute value function of x looks like a V with the vertex at the origin. Then since this function is the one defined for x smaller than 1, our graph should have the V form on the left of the x=1. So we are to choose between the two graphs shown on the left of the page provided (options (1) and (2)).

Now, recall that the square root of x is a function that grows slowly (adopting smaller values than the line y=x, and slowly curving), So such graph is depicted by the image shown in option (2)

Option (2) is the answer.

she reaches her destination.One the set of axes below, draw a graph that models the-example-1
User Chown
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