That is an exponential function. It grows all over the range, from - ∞ to + ∞.
The limit when f(x) goes of - ∞ is zero, so y = 0 there is the asymptote to the left side.
The value of f(x) for x = 4 is 1: f(4) = 6 ^ (4 - x) = 6 ^ (4 - 4) = 6^0 = 1. So, the y intercept is y = 0.
The function grows as x goes to infinity.
You can finds some other values of the function to help to sketch the graph.
x f(x) = 6 ^ (x - 4)
-100 6^ ( -104) = 1.18 * 10^ (-81)
- 10 6^ (-14) = 1.28 - 10^ -11
3 6^ (-1) = 1/6 = 0.17
4 6^0 = 1
14 6^ (10) = 60,466,176
Answer:
-4
Step-by-step explanation:
in 6x3-4x4+22 4 is the biggest exponent
the coefficient of the biggest exponent is -4 becuase it would be -4(4)
therefore the leading coefficient is -4
Answer:
Half life of the radioactive element is 5 days.
Step-by-step explanation:
Formula to get the final amount after the radioactive decay in 't' days,
Here = Initial amount
λ = Decay constant
t = duration of decay
= Final amount
0.01 =
ln(0.01) =
-4.6052 = -34λ
λ = 0.13544
Since, λ =
= 5.11
≈ 5 days
Therefore, half life of the radioactive element is 5 days.
R = 7 because the slope is positive so the graph is going up from -5 at 6 to 14. That's 8 unit, 8*3/2 + -5 = 7
Answer:
The y-axis is upside down, meaning that instead of the values increasing as they go up, they decrease.