Let g be a differentiable function with g(-1)=5 and g'(-1)=2. What is the value of the approximation of g(-0.9) using the function's local linear approximation at x= -1? Options: 5.1, 5.2, 5.3, or 5.4

5.2

Step-by-step explanation:

g(x) = mx +b

g'(x) = m = 2 for all x

g(-1) = 2(-1) + b = 5

-2 + b = 5

b = 7

So, g(x) = 2x + 7

Therefore g(-.9) = 2(-.9) + 7

= -1.8 + 7 = 5.2

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?