Answer:
f(x) = 3^x increases steadily on the interval [4,5].
Step-by-step explanation:
This exponential function f(x) = 3^x has a positive base (3) which is larger than 1. Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.
Answer:
i) D: All real numbers
ii) R: 
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is

The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is 
The function has vertex
.
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore
or ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
iii) To find the y-intercept, put
into the function.




The y-intercept is (0,2) or 
See attachment for graph.
X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /
is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8
Answer:
Tyler's height in centimeters is, 144.78 centimeters.
Step-by-step explanation:
Given the statement: Tyler's height is 57 inches.
To find his height in centimeters.
Using the conversion:

Proportion states that the two ratios or fraction are equal.
Using proportion method:
By cross multiply, we get
centimeters.
therefore, his height in centimeter is, 144.78 inches.