7/9 is going to be the greatest since it is the only positive number and the. it’s going to be -4/5 and then the least is going to be -1/14.
-1/14 , -4/5 , 7/9
Answer:
y-2 = 1/4(x-20) point slope form
y = 1/4x -3 slope intercept form
Step-by-step explanation:
y = -4x
The slope is -4
The slope that is perpendicular is the negative reciprocal
- (1/-4) = 1/4
The slope of our new line is 1/4
We have a point and the slope, so we can use point slope form
y-y1 = m(x-x1)
y-2 = 1/4(x-20)
If we want the line in slope intercept form, distribute
y-2 = 1/4x -5
Add 2 to each side
y-2+2 = 1/4x -5+2
y = 1/4x -3
2. means that for every x, there is eactly one y
basically, we can use the vertical line test to see if it crosses at any 2 points
first one works
2nd one works
3rd works
4th works
5th works
they are all one to one functions
3.
easy
steps
for f(x)=?
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
so

replace

switch

solve

![\sqrt[3]{x+2}=1+y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B2%7D%3D1%2By)
![-1+\sqrt[3]{x+2}=](https://tex.z-dn.net/?f=-1%2B%5Csqrt%5B3%5D%7Bx%2B2%7D%3D)
replace
![f^{-1}(x)=-1+\sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-1%2B%5Csqrt%5B3%5D%7Bx%2B2%7D)
first option
4.
domain, hmm we can't divide by 0 so domain is all real numbers except for x=0
domain is

hmm, range
as x approaches negative or positive infinity, f(x)=5
as x approaches 0 from the left, f(x) appraoches negative infintiy
as x approaches 0 from the right , f(x) appraoches positive infintiy
so range is

domain is

range is

answer is the 4th option