the logarmithmic functions, f(x)=logx and g(x), are shown on the graph. what is the equation that represents g(x)? explain.

Mathematics

1 answer:

mestny [16]2 years ago

6 0

Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.

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Mrs Kennedy is buying pencils for 315 students.

The pencils are sold in boxes of 10.

Therefore the number of pencils she needs to buy should be a multiple of 10, so that she can buy boxes of 10 pencils each.

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so we have to round off 315 to the nearest ten, that's 320.

so then she has to buy 320 pencils

number of boxes she needs - 320 / 10 = 32 boxes of pencils

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