<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The most famous of the step functions is the greatest integer function, which is denoted by the parent function
.
So, this function is defined as:
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at
and
in the interval
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function
represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
The slope is 3 so the answer would be 3. Hope it helps! :)
Answer:
(-1,6)
Step-by-step explanation:
Given that(4,6) is on the graph of f(x)
f(-4x) means x is multiplied by -4
When x is multiplied by -1 then there will be reflection over y axis
We multiply every point by -1. so multiply the x values of the given point (4,6) by -1
New point is (-4,6)
If any number is multiplied with x then there will be a horizontal compression or stretch.
4 is multiplied with x , so there will be horizontal compression because 4 is greater than 1
To get new point, we divide the x values by 4 for compression
we already got (-4,6) after multiplying by -1
Now we divide the x coordinate -4 by 4 = -1
So corresponding point for the function f(-4x) is (-1,6)
Answer: 5040
Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040