Answer:
Y = 3x^x is a graph that has exponential growth while y = 3^-x has exponential decay.
Y = 3x^x (-∞, 0) and (∞, ∞).
Y = 3x^-x (-∞, ∞) and (∞, 0).
Step-by-step explanation:
The infinity symbols were being used to represent the x and y values of each graph. I will call y = 3^x "graph 1" and y = 3^-x "graph 2".
When graph 1 had positive ∞ for its x value, its y value was reaching towards positive ∞. When its x was reaching for negative ∞, its y was going for 0.
For graph 2, however, when its x was reaching for positive ∞, its x was reaching for 0. When its x was reaching for negative ∞, its y was going for positive ∞.
Here's an image of the graphs:
Answer:
After 1 second, the ball will reach a maximum height of 16 feet
Step-by-step explanation:
The height of the ball after t seconds: h(t) = -16t^2 + 32t
The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola
t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second
then
h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16
After 1 second, the ball will reach a maximum height of 16 feet
Answer:
The inverse of the function is;
x = (y + 2)/3
Step-by-step explanation:
Here in this question, we shall be calculating the inverse of a function.
The function is;
y = 3x - 2
Firstly, let w = x;
y = 3w -2
y + 2 = 3w
w = (y + 2)/3
Now replace w by x
x = (y + 2)/3
This is the inverse of the function
Answer:
2372
Step-by-step explanation:
Filling in a 7 for x gives you
Raise 2.08 to the power of 7 to get
y = 14.08(168.4392677) and multiply to get
y = 2371.62489
Since we cannot have a decimal amount of fish, the population will round to 2372 as a whole number
