Answer:
2>0 5>-18
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
It passes the vertical line test.
if you draw vertical lines, it should hit the function only once, if it hits coordinates with the same x value (for example, (1,2) and (1,3)), it is not a function.
In the graph, each x value is only hit once.
Answer:
The statement that is true about dot plot is:
A dot plot shows the frequency of the individual values of any given data set
Step-by-step explanation:
A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.
The dot plot is somewhat like the histogram but the difference is:
A histogram shows the frequency of an interval of values of any given data set.
for example:
we may make a histogram for the weight of students of a class.
since we may divide the weight of the students into some interval.
whereas the dot plot gives the frequency of the individual data points or discrete data points.
for example:
we may plot a dot plot for rolling a number cube 20 times.
Hence, the correct statement is:
A dot plot shows the frequency of the individual values or of any given data set.
Answer:
![\boxed{\dfrac{f(a+h)-f(a)}{h}=-3a^2-3ah-h^2}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdfrac%7Bf%28a%2Bh%29-f%28a%29%7D%7Bh%7D%3D-3a%5E2-3ah-h%5E2%7D)
Step-by-step explanation:
![f(x)=-x^3+2\\\\\dfrac{f(a+h)-f(a)}{h}\\\\f(a+h)\to\text{substitute x = a + h}\\f(a)\to\text{substitute x = a}\\\\\dfrac{f(a+h)-f(a)}{h}=\dfrac{-(a+h)^3+2-(-a^3+2)}{h}\\\\\text{use}\ (x+y)^3=x^3+3x^2y+3xy^2+y^3\\\\=\dfrac{-(a^3+3a^2h+3ah^2+h^3)+2-(-a^3)-2}{h}\\\\=\dfrac{-a^3-3a^2h-3ah^2-h^3+2+a^3-2}{h}\\\\\text{combine like terms}](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E3%2B2%5C%5C%5C%5C%5Cdfrac%7Bf%28a%2Bh%29-f%28a%29%7D%7Bh%7D%5C%5C%5C%5Cf%28a%2Bh%29%5Cto%5Ctext%7Bsubstitute%20x%20%3D%20a%20%2B%20h%7D%5C%5Cf%28a%29%5Cto%5Ctext%7Bsubstitute%20x%20%3D%20a%7D%5C%5C%5C%5C%5Cdfrac%7Bf%28a%2Bh%29-f%28a%29%7D%7Bh%7D%3D%5Cdfrac%7B-%28a%2Bh%29%5E3%2B2-%28-a%5E3%2B2%29%7D%7Bh%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28x%2By%29%5E3%3Dx%5E3%2B3x%5E2y%2B3xy%5E2%2By%5E3%5C%5C%5C%5C%3D%5Cdfrac%7B-%28a%5E3%2B3a%5E2h%2B3ah%5E2%2Bh%5E3%29%2B2-%28-a%5E3%29-2%7D%7Bh%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-a%5E3-3a%5E2h-3ah%5E2-h%5E3%2B2%2Ba%5E3-2%7D%7Bh%7D%5C%5C%5C%5C%5Ctext%7Bcombine%20like%20terms%7D)
![=\dfrac{(-a^3+a^3)-3a^2h-3ah^2-h^3+(2-2)}{h}\\\\=\dfrac{-3a^2h-3ah^2-h^3}{h}\\\\=\dfrac{h(-3a^2-3ah-h^2)}{h}\\\\=-3a^2-3ah-h^2](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%28-a%5E3%2Ba%5E3%29-3a%5E2h-3ah%5E2-h%5E3%2B%282-2%29%7D%7Bh%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-3a%5E2h-3ah%5E2-h%5E3%7D%7Bh%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bh%28-3a%5E2-3ah-h%5E2%29%7D%7Bh%7D%5C%5C%5C%5C%3D-3a%5E2-3ah-h%5E2)
Answer:
(x+5) (x-3)
Step-by-step explanation:
5 times -3= -15
5 + -3 = 2