Answer: Second option.
Step-by-step explanation:
Below are some transformations for a function f(x) :
1. If 
, the function is shifted "k" units up.
2. If 
, the function is shifted "k" units down.
3. If 
, the function is shifted "k" units right.
4. If 
, the function is shifted "k" units left.
The Cube root parent function is:
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
By definition, the graph of this function passes through the origin, as you can observe in the picture attached.
In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.
Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:
![h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3Df%28x%2B2%29%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
we are given
f(x)=[x=1]
where bracket means ceiling functions
we know that
Ceiling function returns the least value of the integer that is greater than or equal to the specified number
so, we can check each options
option-A:
At x=-4:
f(x)=[-4-1] =-5
For x<-3:
Let's assume
x=-3.1
f(x)=[-3.1-1] =[-4.1]=-5
so, this interval is TRUE
option-B:
At x=-2:
f(x)=[-2-1] =-3
For x<-1:
Let's assume
x=-1.1
f(x)=[-1.1-1] =[-2.1]=-3
so, this is FALSE
Answer:
1, 4, 5
Step-by-step explanation:
rational is when there is an end to the number.
Answer:
p
Step-by-step explanation:
√p²
Rule:
If √x², then √x² = x
Answer:
a. B. Frequency is the number of times a particular distinct value occurs. Relative frequency is the ratio of the frequency of a value to the total number of observations.
b. A. A relative frequency is the same as a percentage expressed as a decimal.
Step-by-step explanation:
Frequency is the number of repetitions of a particular observation.
Relative Frequency is the ratio of the frequency of particular observation to the sum of frequencies of all the observations.
The percentage is the proportion of the whole.
Thus, In question (a)
Option B is the only correct answer.
and in question (b)
Option A is the only correct answer.
