The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)
The y-intercept of <span>f(x) = 4x + 5 is f(0)=4*0+5=5
The y-intercept of (0, 2) is 2.
The y-intercept of </span>h(x) = 3 sin(2x + π) − 2 is:
h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2
<span>Answer: The function f has the greatest y-intercept.
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23 +30 (15 feet each way) = 53
28 + 30 = 58
58 x 53 = 3074ft
C
.) The - 3 at the end of the function means the function is shifted down 3 units. This also shifts the asymptote down 3 units.
We first calculate the z-score corresponding to x = 1075 kWh. Given the mean of 1050 kWh, SD of 218 kWh, and sample size of n = 50, the formula for z is:
z = (x - mean) / (SD/sqrt(n)) = (1075 - 1050) / (218/sqrt(50)) = 0.81
From a z-table, the probability that z > 0.81 is 0.2090. Therefore, the probability that the mean of the 50 households is > 1075 kWh is 0.2090.
