This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
Answer:
You can get a negative 5 if you subtract -7 minus -2.
Step-by-step explanation:
the slope or average rate of change for the trip from the graph is just rise/run. Now, let's take a look at those values to get it
so the slope of it is 1/5, 2 hours is 120 minutes, what would be the distance value on 120 minutes?
Angle XYZ = 1/2 (Arc VW - Arc XZ)
2*35 = 84 - Arc XZ
Arc XZ = 84 - 70 = 14°
Therefore, C is the correct answer.
Good luck.
Answer:
(
x
+
4
)
×
(
x
−
1
)
Step-by-step explanation:
The equation in the A
x
²
+
B
x
+
C
The C is negative which indicates that one binomial will be negative and one binomial will be positive. The B is positive which indicates that the positive binomial will be larger than the negative binomial
. The B is +3 which tells that the difference in the two factors is 3
