Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1

x intercepts at x = 4 and x = -5

y intercept at 5

y=

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Dointe occible. 1

Step-by-step explanation:

Let the fractional form of the function is

As there are two vertical asymptotes at x = -4 and x = 1

so, the denominator of the function must be 0 at x=-4 as well as x=1, so, (x+4) and (x-1) is factors of the denominator, D.

D=a(x+4)(x-1)

where a is constant.

As, at x intercepts at x = 4 and x = -5, so the function is zero at x=4 and x=-5.

So, (x-4) and (x+5) are the factors of numerator, so

N=b(x-4)(x+5), where b is a constant.

From the equation (i),

As y intercept is 5, so at x=0,

f(x=0)=5

Put the value of in equation (ii), the required rational function is

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.