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27.01.2021 •
Mathematics
Did I do this right math functions need fast
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Ответ:
Option A, B and D are correct options.
Step-by-step explanation:
First we will find rate of change of function A and function B
Rate of Change of Function A
The formula used to calculate rate of change is:![Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}](/tpl/images/1070/4485/3ef94.png)
We have x_1=1, y_1=5, x_2=2, y_2=7
Putting values in formula and finding rate of change
So, Rate of change of Function A = 2
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the function, we can write the equation: y=2x+3
Now, put x =0
y=2(0)+3
y=3
So, when x =0, y=3
So, y-intercept is 3 for function A.
Rate of Change of Function A
The formula used to calculate rate of change is:![Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}](/tpl/images/1070/4485/3ef94.png)
We have x_1=1, y_1=1, x_2=2, y_2=4
Putting values in formula and finding rate of change
So, Rate of change of Function B = 3
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the graph, when x=0, y is -2
So, y-intercept is -2 for function B.
We get following answers:
Rate of change of Function A = 2
Rate of change of Function B = 3
y-intercept is 3 for function A.
y-intercept is -2 for function B.
So, The correct options are:
The rate of change of function A and B are positive
The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)
The y-intercept of function A is positive, while y-intercept of function B is negative.
So, Option A, B and D are correct options.
Ответ:
.4
40%
2/5
Step-by-step explanation: