Describe the graph of the function f(x) = x3 − 18x2 + 101x − 180. include the y-intercept, x-intercepts, and the shape of the graph.

 x-intercept is (5,0),(4,0) and (9,0)    and y-intercept is (0,-180)  

Explanation:

x-intercept is the point where graph intersects the x-axis.Hence, to find x-intercept, plug y=0 in the given function

y-intercept is the point where graph intersect the y-axis.Hence, to find y-intercept, plug x=0 in the given function.

here in given function we have leading coefficient is 1 and degree is 3

So, for end behaviour it is the case of odd degree and positive leading coefficient so

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

the formula for converting absorbance to transmittance goes as:

a = log (1/t)  a = 2 - log(%t)  10^a = 1/t  t = 10^-a  %t = 100(10^-a)

so at the given value of a,   a = 1.5

%t = 100(10^-1.5)

%t = 3.16%