I would make a table and plug in values for "x" in the equation to find f(x) or y
x = 0
(there is a rule that when the exponent is 0, the result is 1)
f(0) = 2 (0,2)
x = 1
f(1) = 6 (1,6)
You could do more points.
But these two points shows that the y-intercept (the y value when x = 0 or (0,y)) is 2, and that the graph is increasing.
Your answer is B
Answer:
a)The sunglasses hit the ground at t=0 seconds
b)The maximum height h(t) = 1600feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the polynomial function
h(t) = -16 t² + 1600 ...(i)
Differentiating equation (i) with respective to 't' , we get
Equating zero
⇒ -32t =0
⇒ t =0
The sunglasses hit the ground at t=0 seconds
<u><em>Step(ii):-</em></u>
Again differentiating with respective to 't', we get
The maximum height at t=0
h(t) = -16 t² + 1600
h(t) = 1600feet
So:
Answer:
Step-by-step explanation:
We can rewrite the fraction as
In order to rationalize the denominator of such a complex fraction, we must multiply the fraction by the conjugate of the denominator. In this case, the conjugate of the denominator would be . Multiplying both sides of the fraction by the conjugate of the denominator would result in the fraction: