Test Exam 1 This Test 240kpossto Wha aFmonexpuss ddrge d fra

Test Exam 1 This Test 240kpossto Wha aFmonexpuss ddrge d frar..G+ESn tisy

Solution

given f(x)=x²-8x+6

a) average rate of change of f(x) from -3 to -2 is=(f(-2) -f(-3))_/(-2-(-3))

average rate of change of f(x) from -3 to -2 is=(((-2)²-8(-2)+6) -((-3)²-8(-3)+6))_/(-2-(-3))

average rate of change of f(x) from -3 to -2 is=(26-39)_/(1)

average rate of change of f(x) from -3 to -2 is =-13

b) average rate of change of f(x) from -1 to 2 is=(f(2) -f(-1))_/(2-(-1))

average rate of change of f(x) from -1 to 2 is=(((2)²-8(2)+6) -((-1)²-8(-1)+6))_/(2-(-1))

average rate of change of f(x) from -1 to 2 is=(-6-15)_/3

average rate of change of f(x) from -1 to 2 is= -7

c) average rate of change of f(x) from 2 to 3 is=(f(3) -f(2))_/(3-2)

average rate of change of f(x) from 2 to 3 is=(((3)²-8(3)+6)-((2)²-8(2)+6))_/(3-2)

average rate of change of f(x) from 2 to 3 is=(-9-(-6))_/(1)

average rate of change of f(x) from 2 to 3 is=-3