here is my questionShow that the following continuous function has a root between 1 and 2. (Round numerical answers to two decimal places.)

g(x) =x²xsin

4

x

g(1) =,

which is

---Select---

less than zero

greater than zero

,andg(2) =,

which is

---Select---

less than zero

greater than zero

.So by

---Select---

Rolle's Theorem

the Intermediate Value Theorem

the Mean Value Theorem

,g(x)

has a root between 1 and 2.:

and:

Show that the following continuous function has a root between0and2.

f(x) = 4x³6x²+ 3x2

f(0) =,

which is

---Select---

less than zero

greater than zero

,andf(2) =,

which is

---Select---

less than zero

greater than zero

.So by

---Select---

Rolle's Theorem

the Intermediate Value Theorem

the Mean Value Theorem

,f(x)

has a root between 0 and 2.