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1 vote
Drag each tile to the correct box. Consider the given functions f, g, and h.

h(x)=x²+x-6

Place the tiles in order from least to greatest according to the average rate of change of the functions over the interval [0, 3].

function H function f function g

Drag each tile to the correct box. Consider the given functions f, g, and h. h(x)=x-example-1
User Vladernn
by
6.4k points

2 Answers

0 votes

Answer:

g,f,h

I just took the test and was right

Explanation:

Drag each tile to the correct box. Consider the given functions f, g, and h. h(x)=x-example-1
User Ritesh Kumar Gupta
by
6.8k points
3 votes

Answer:

g, f, h

Explanation:

By definition, the average rate of change of a function f over an interval [a,b] is given by


(f(b)-f(a))/(b-a)

So, in your case, we want to compute the quantity


(f(3)-f(0))/(3)

for all the three function

Average rate of change of f:

We will simply use the table to check the values for f(3) and f(0):


(f(3)-f(0))/(3)=(10-1)/(3) = 3

Average rate of change of g:

We will use the graph to to check the values for g(3) and g(0):


(g(3)-g(0))/(3)=(8-1)/(3) = (7)/(3)

Average rate of change of h:

We can plug the values in the equation to get h(3) and h(0):


h(3)=3^2+3-6=9+3-6=6,\quad h(0)=0^2+0-6=-6

And so the average rate of change is


(h(3)-h(0))/(3)=(6-(-6))/(3) = 4

User Patedam
by
6.2k points