#Is this a correct explanation for Intermediate Value Theorem?

11 messages · Page 1 of 1 (latest)

wise burrow
#

Since f is continuous and f(-1) < 0 < f(2)
∃ c ∈ (-1, 2) such that f(c) = 0?

rigid wedgeBOT
wise burrow
#

I'm mostly wondering abt the symbols and the use of them

zealous verge
#

Ok so “f is continuous” means there’s no jumps or holes in the function f

#

Although it’s only required that f be continuous on the interval [-1, 2]

wise burrow
#

ohh ok so what would be better is

Since f is continuous on the interval [-1, 2] and f(-1) < 0 < f(2),
∃ c ∈ (-1, 2) such that f(c) = 0?

#

is everything else correct tho?

zealous verge
#

Yep

#

At a first glance

wise burrow
#

TYSM i rlly appreciate it

zealous verge
#

.solved