Answer:
Step-by-step explanation:
To solve problems like this, we need to multiply the base , , the amount of times as the exponent, 4.
Essentially, the equation is x
x
x
.
The product would be .
Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.
Hope this helped :)
Step-by-step explanation:
P(t) = 8 − 2√(2t + 4)
The x-intercept(s) is where t = 0.
P(0) = 8 − 2√(0 + 4)
P(0) = 8 − 4
P(0) = 4
The y-intercept(s) is where P = 0.
0 = 8 − 2√(2t + 4)
2√(2t + 4) = 8
√(2t + 4) = 4
2t + 4 = 16
2t = 12
t = 6
So the intercepts are at (0, 4) and (6, 0).
The easiest way to tell if the function is increasing or decreasing is to graph it. Otherwise, we have to either use calculus to find the derivative, or assume the function is constantly increasing/decreasing and use limits.
lim(t→∞) P(t) = -∞
The function is decreasing.
