1.3 Day 2 Intermediate Value Theorem (IVT)
SWBAT use IVT to find zeros of functions.
The Intermediate value theorem is very valuable in determining zeros of a function. It guarantees that
all y-values exist between and on the interval .
MUST BE CONTINOUS
In order to consider using IVT a function ______________________________________________.
A function y = f(x) that is continous on a closed interval [a, b]
takes on every value between f(a) and f(b). In other words, if n
is between f(a) and f(b), then n = f(c) for some c in [a, b]
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EMM.in
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ya, 1b 4
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a £
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I
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o , 3
I point
1. Given the values of a continuous function, below, how many solutions will there be to
4-4.1<5
f(D=4 for
f(×)=4 / some
f. (2)
.
=S ✗ C- [ 1,2]
5 > 4.1>3
f. (2)
=5
3) =3 ft) -4.1C- for
-
f( some
2,3]
✗ [
I point
Because f(x) is continuous by IVT, there
will be ATLEAST 2 solutions
correct answer
-
lpoirt
SWBAT use IVT to find zeros of functions.
The Intermediate value theorem is very valuable in determining zeros of a function. It guarantees that
all y-values exist between and on the interval .
MUST BE CONTINOUS
In order to consider using IVT a function ______________________________________________.
A function y = f(x) that is continous on a closed interval [a, b]
takes on every value between f(a) and f(b). In other words, if n
is between f(a) and f(b), then n = f(c) for some c in [a, b]
ʰ
EMM.in
He)
ya, 1b 4
-
'
a £
'
I
' '
o , 3
I point
1. Given the values of a continuous function, below, how many solutions will there be to
4-4.1<5
f(D=4 for
f(×)=4 / some
f. (2)
.
=S ✗ C- [ 1,2]
5 > 4.1>3
f. (2)
=5
3) =3 ft) -4.1C- for
-
f( some
2,3]
✗ [
I point
Because f(x) is continuous by IVT, there
will be ATLEAST 2 solutions
correct answer
-
lpoirt
