The function y = f(x) is graphed below. What is the average rate of change of the
1 answer:
Answer:
Average rate of change = 1
Step-by-step explanation:
Average rate of change of a function between x = a and x = b is defined by,
Average rate of change =
We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4
Therefore, average rate of change of the function =
From the graph attached,
f(4) = 4
f(2) = 2
Average rate of change =
= 1
Therefore, average rate of change of the function in the given interval is 1.
You might be interested in
The answer is: 
.
____________________________________________
Explanation:
____________________________________________
We have: " 6⁻¹ * (-2)³ * (-4)⁻² = ? " ;
_______________________________________
Note: "6⁻¹ =
= 
" .
Note the following property of exponents:
____________________________________
a⁻ˣ =
; {x ≠ 0}.
____________________________________________
Note: (-2)³ = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________
Note: (-4)⁻² =
;
=
;
=
;
____________________________________
So; we have:
_____________________________________
6⁻¹ * (-2)³ * (-4)⁻² ;
=
;
→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since: "{8÷8=1"} ;
→and we have:
;
= .
_____________________________________
→ The answer is: .
_____________________________________
____________________________________________
Explanation:
____________________________________________
We have: " 6⁻¹ * (-2)³ * (-4)⁻² = ? " ;
_______________________________________
Note: "6⁻¹ =
Note the following property of exponents:
____________________________________
a⁻ˣ =
____________________________________________
Note: (-2)³ = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________
Note: (-4)⁻² =
=
=
____________________________________
So; we have:
_____________________________________
6⁻¹ * (-2)³ * (-4)⁻² ;
=
→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since: "{8÷8=1"} ;
→and we have:
=
_____________________________________
→ The answer is:
_____________________________________