The functions f and g are shown below. which of the following statements is true.

A: Over the intervals (0,2), The average rate of change of F is greater than that of G. The Y intercept of earth is the same as the Y intercept of G

B: over the intervals (0,2), The average rate of change of F is the same as that of G. The Y intercept of F is less than the Y intercept of G.

C: Over the intervals of (0,2), The average rate of change of F is less than that of G. The Y intercept of F is the same as the Y intercept of G.

D: Over the intervals (0,2) The average rate of change of F is the same as that of G. The Y intercept is greater than the Y intercept of G.

This question is solved using the concepts of average rate of change and y-intercept.

Doing this, the correct option is:

A: Over the intervals (0,2), The average rate of change of F is greater than that of G. The Y intercept of earth is the same as the Y intercept of G

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Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

y-intercept:

The y-intercept of a function is the value of x when y = 0.

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Function f:

When , , that is, the y-intercept is -3.

When ,

Thus, the average rate of change is:

Function g:

Looking at the graph, when , that is, the y-intercept is -3.

When .

Thus, the average rate of change is:

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Comparison:

Thus, the correct answer is given by option A.

A similar question is found at link

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.