Answer:
x= -2
Step-by-step explanation:
Rational Function can be expressed as:

Where b is our horizontal shift and q is our vertical shift.
For asymptotes, there are two types which are vertical and horizontal.
Vertical Asymtote is the value of -b itself or x = -b.
Therefore, from the functio:

Our vertical asymtote is x = -2
Answer:
- 9
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [a, b ] = [ - 5, 2 ], thus
f(b) = f(2) = 2² - 6(2) + 2 = 4 - 12 + 2 = - 6
f(a) = f(- 5) = (- 5)² - 6(- 5) + 2 = 25 + 30 + 2 = 57 , thus
average rate of change =
=
= - 9
Answer:
Choose a point with a negative x coordinate and a positive y coordinate.
Step-by-step explanation:
The quadrants are labeled counter clockwise 1, 2, 3, and 4.
Quadrant I - has x and y coordinate both positive.
Quadrant 2 - has x coordinate negative and y coordinates positive.
Quadrant 3 - has x and y coordinates both negative.
Quadrant 4 - has x coordinates positive and y coordinates negative.
Since the point is in quadrant 2, choose a point where x is negative but y is positive like (-3, 2).
Answer:
C
Step-by-step explanation:
(2^6)=1
take log on both sides,
xlog(2^6)=log(1)=0
=>
x=0, since log(2^6)>0
5^0=1
there is no value of x appearing in the equation, so x can be any valid number.