Given the function f(x)=x2+3x-2
1 answer:
Answer:
11
Step-by-step explanation:
The average rate of change of function f on interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
Here, that is ...
m = (f(6) -f(2))/(6 -2)
So, we need to evaluate the function at x=6 and x=2. Writing it in "Horner form" makes this easier.
f(x) = (x +3)x -2
f(6) = (6 +3)6 -2 = 54 -2 = 52
f(2) = (2 +3)2 -2 = 10 -2 = 8
Then the slope is ...
m = (52 -8)/4 = 13 -2 = 11
The average rate of change of f(x) from 2 to 6 is 11.
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Answer:
The points which satisfy the given lines is ( 1 , 1 )
Step-by-step explanation:
Given as :
The equation of lines is
y = 3 x - 2 ........ 1 And
y = - 2 x + 3 ........ 2
From equation given
3 x - 2 = - 2 x + 3
Or , 3 x + 2 x = 3 +2
Or, 5 x = 5
So , x = = 1
Put the value of x in eq 1
So, y = 3 ( 1 ) - 2
Or, y = 3 - 2 = 1
∴, the points ( x , y ) = ( 1 , 1 )
Hence The points which satisfy the given lines is ( 1 , 1 ) Answer