Question

Suppose that f(t) is a function for which f(70)=8.3 and f′(70)=5.5. Use this information to estimate the following. Round your answer to one decimal place.
1. f(70+1)≈

2. f(70−1)≈

Answer 1

@UnkleRhaukus

Answer 2

if the run is +1, the rise will be about 5.5

if the run is -1, the rise will be about -5.5

Answer 3

ok

Answer 4

what is the best guess for the height of the function at x = 70+1?

Answer 5

umm

Answer 6

9.3? or 13.8?

Answer 7

i dont know

Answer 8

f(70+1) ≈ f(70) + 1 x f'(70)
= 8.3 + 5.5
= 13.8

Answer 9

f(70-1) ≈ f(70) - 1 x f'(70)
= 8.3 - 5.5
=

Answer 10

wait so what I did was right?

Answer 11

yeah 13.8 is the best (linear) approximation for f(71)

Answer 12

What do you get for
f(70-1) ?

Answer 13

2.8

Answer 14

Great work!

Answer 15

thanks :D