Answer:
a) missing y-values: 4, 8
b) correct: y-intercept = 1
c) y = 2^x
Step-by-step 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).
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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.
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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
