Question

help calc

Answer 1

@Vocaloid

Answer 2

since you want them to have the same value at x = 1, set the two parts equal to each other, plug in x = 1, and solve for a

Answer 3

still there?

x^2 + 2x + a = lnx

plugging in x gives

1^1 + 2(1) + a = 0 solve for a

Answer 4

e

Answer 5

check your signs again

1 + 2 + a = 0

then a must be -3 not 3

Answer 6

ok

Answer 7

yikes

well apart from the obvious (there are two zeros at x = 3 and x = 2 b/c of the denominator I wouldn't know how to do this w/o a graphing calculator. hm.

Answer 8

could i do a plug in method

Answer 9

you'd have to graph across the intervals to see which one doesn't have any jumps or discontinuities

we can eliminate B and C because they contain the discontinuities at x = 3 and x = 2

Answer 10

rate of change formula again

[ f(5) - f(2) ] / (5-2) = ?

Answer 11

what is f?

Answer 12

the function.

Answer 13

I know it's over 3 and gotcha

Answer 14

f(5) means plug x = 5 into the function and evaluate

f(2) means plug x = 2 into the function and evaluate

then find f(5) - f(2) and divide the result by 3

Answer 15

so 15-3=12/3=4

Answer 16

you just have to plug in x = 1 and x = 2 to generate two points

then after that it's just slope formula and basic algebra to find the slope and y-intercept

Answer 17

so -1,8

Answer 18

@Vocaloid

Answer 19

just need to take the derivative of the function and plug in x = 1