What is the equation of the asymptote of the graph of y=3(4^x) A. x=4 B. x=0 C. y=3 D. y=0
1 answer:
The asymptote cannot be x= because x can be any number. If you think about it, you can take a number to any exponent.
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual:
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual:
You might be interested in
:1
i didnt understand the question because of my English sorry
:2
we all know that the total of degrees is 180 so 70+70=140
180-140=40
so the answer is 40
3:
we have a figure with 4 angle so the total of degrees is 360 so the answer is 126
4:
the answer most be 50 becuse we have a Special degree witch always equal 90 if we have recatngle so
x+40=90
X=50 the answer and if you want to try again choose the second one
2x-10=90
2x=100
X=50 same answe you see
5:
in this quastion i searched and find alot of answers any way
its should be 7 or 3 but the correct answer in my opinion its 7
its shows in the picture i sent hopefully its helpful to you i will try to translate the first quastion and sent it to you
Answer:
9
Step-by-step explanation:
i hope this is helpful........
