change over the internal, Algebra Questions help

I have my questions with the answers and explanation below. Please explain them to me and help me understand the concept. Thank you.

How does f(x) = 4.9* change over the interval from x = -3 to x = 2?
f(x) increases by a factor of 9
f(x) increases by a factor of 94
f(x) increases by a factor of 95
f(x) decreases by a factor of 94
You answered:
To see how a function changes over an interval, look at the endpoints.
The values of f(x) = 4.9* at the endpoints x = -3 and x = 2 are:
f(-3) = 4.93
f(2) = 4.92
In the values 4.9*9 and 4.92, the same base is raised to different exponents. So, to see
how f(x) changes from x = -3 to x = 2, you should find the ratio of these two values.
f(2)
f(-3)
=
4 92
4.93
92
-3
9
=
92–3
Divide by subtracting the exponents
95
This means f(2) = 9°F(-3). So, f(x) increases by a factor of 95 over the interval from x = -3
to x = 2.
Simplify. Assume v is greater than zero.
3v
7
You answered:
The multiplication property of square roots states that
Vab = vab
if both a and b are greater than or equal to zero.
The division property of square roots states that
va
b 5
a
=
if a is greater than or equal to zero and b is greater than zero.
To simplify this radical expression, rewrite it with a radical in the numerator and a radical in the
denominator. Then factor out any perfect squares and simplify.
3v
V7
3.”
7
Find the prime factorizations of the numerator’s and denominator’s coefficients
3.79
17
Apply the division property of square roots
v2.13
17
Simplify
To finish simplifying the expression, multiply by to rationalize the denominator.
17
v².&3 7
J7 17
v2.3.7
=
(v7)
Simplify
=
v2./3.7
7
Simplify the denominator
v2.21
7
Multiply
Multiply. Assume x and y are greater than or equal to zero, and write your answer in simplest
form.
9/3x? .570xy
You answered:
The multiplication property of square roots states that
Na : Nb
Vab
=
if both a and b are greater than or equal to zero.
To simplify this radical expression, multiply the two radicals together and then factor out any
perfect squares.
9/3×2.5 70xy
= 9.5 3.X? V2.5.7.X .y Find the prime factorization of the numeric part of each radicand
– 45/3
-x².2.5.7.×5.74 Apply the multiplication property of square roots
= 45 x.y4.2.3.5.7.x
Group perfect square factors
=
Simplify
45xy?. 2.3.5.7.x
45xy2.210 -*
Multiply