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Can you explain how to do this?

Can you explain how to do this?-example-1
User Don Jewett
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1 Answer

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Answer:

a) missing y-values: 4, 8

b) correct: y-intercept = 1

c) y = 2^x

Explanation:

a)

You complete the table by reading point values from the graph. You have already correctly filled the y-values for x=0 and x=1. The y-value at x=2 is 4. The y-value at x=3 is off the chart, but we expect it to follow the same pattern: it will be 2×4 = 8.

The table values are (x, y) = (0, 1), (1, 2), (2, 4), (3, 8).

__

b)

The y-intercept is the point where the graph crosses the y-axis: (0, 1). You have correctly identified 1 as the y-intercept.

__

c)

The equation for the curve will be an exponential of the form ...

y = a·b^x

The value of 'a' is the y-intercept: 1.

The value of 'b' is the ratio of successive y-values when x increases by 1.

b = 2/1 . . . for x=1 and x=0

The equation will be ...

y = 1·2^x

y = 2^x . . . . . simplified

User Cobertos
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