For each function shown: •name that starting point
•explain how y changes as x increases
function#1: y=0.5+3x
function#2: y=3(0.5)x

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.

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step-by-step explanation: