Rewrite using a single positive exponent
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Answer:
Step-by-step explanation:
Function (1) has been given as,
y = 0.5 + 3x
Table for the points on this function,
x 0 1 2 3 4
y 0.5 3.5 6.5 9.5 12.5
There is a common difference of 3 each successive term of y from the previous term.
Therefore, starting point of the function is (0, 0.5)
There is a linear growth of 3 with the increase in the value of x.
Function (2),
y = 3(0.5)ˣ
x 0 1 2 3 4
y 3 1.5 0.75 0.375 0.1875
Starting point of the function will be (0, 3)
There is a common ratio of 0.5 in each successive term to the previous term.
Function (2) increases exponentially with a common ratio of (0.5) with the increase in x.
