Question

Did I do this right math functions need fast

Answer 1

The rate of change of Function A is less than the rate of change of function B.

Other than that, everything else you put is correct.

Explanation:

None.

Answer 2

Option A, B and D are correct options.

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=(y_2-y_1)/(x_2-x_1)`

We have x_1=1, y_1=5, x_2=2, y_2=7

Putting values in formula and finding rate of change

`Rate\:of\:Change=(y_2-y_1)/(x_2-x_1)\\Rate\:of\:Change=(7-5)/(2-1)\\Rate\:of\:Change=(2)/(1)\\Rate\:of\:Change=2`

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=(y_2-y_1)/(x_2-x_1)`

We have x_1=1, y_1=1, x_2=2, y_2=4

Putting values in formula and finding rate of change

`Rate\:of\:Change=(y_2-y_1)/(x_2-x_1)\\Rate\:of\:Change=(4-1)/(2-1)\\Rate\:of\:Change=(3)/(1)\\Rate\:of\:Change=3`

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.