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diamondalize21p84czi
01.03.2021 •
Mathematics
I’ll mark u as brainliest
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Ответ:
Part A: Function C
Part B: Function B
Step-by-step explanation:
Part A:
Initial value of function A is the value of
at
.
Therefore, at![x =0, y = 0](/tpl/images/0366/0831/3736d.png)
So, initial value of function A is 0.
Initial value of function B is given as:
Therefore, initial value of function B is -1.
Initial value of function C as seen in the graph is 2 because at
.
Hence, on comparing the initial values of the three functions, function C has the greatest initial value.
Part B:
Rate of change of a function is given as:
For function A,![(x_{1},y_{1})=(0,0)\textrm{ and }(x_{2},y_{2})=(2,5)](/tpl/images/0366/0831/e371b.png)
Therefore,![m_{A}=\frac{5-0}{2-0}=\frac{5}{2}=2.5](/tpl/images/0366/0831/96303.png)
For function B, the coefficient of
represents rate of change of the function.
Therefore, rate of change of function B is
.
For function C, consider two points on the graph. Let the points be![(0,2)\textrm{ and }(3,3)](/tpl/images/0366/0831/02c64.png)
Therefore, rate of change,![m_{C}=\frac{3-2}{3-0}=\frac{1}{3}=0.33](/tpl/images/0366/0831/45a05.png)
On comparing all the 3 rate of change, function B has the greatest rate of change of value 3.