Let f(x)=x2+3x−4 .

what is the average rate of change for the quadratic function from x=−3 to x = 8?

let f(x)=−14(x+4)2−8 .

what is the average rate of change for the quadratic function from x=−2 to x = 2?

which function grows at the fastest rate for increasing values of x?

f(x)=4⋅2x

h(x)=9x2+25

g(x)=15x+6

f(x) = 4 · 2^x is the correct answer for Which function grows at the fastest rate for increasing values of x?

I included a screenshot so u can see.

Hope this helps!

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3