Question

Type the correct answer in each box.


This graph represents the function

Answer 1

1 -12

Explanation:

graph

Answer 2

a= -7

b= 12

Explanation:

For this, we can look at the graph to solve. We know that in the formula of a rational graph, the top when factored represents the 'zeroes' of the graph, while the denominator factored represents the 'asymptotes'.

From the graph, we can get that there is an asymptote at x=-4. There is also one zero at x=1. We can also see a hole at x=3, meaning that a factor on the denominator is also x=3. This is what this gives us:

`f(x)= ((x-3)(x-1))/((x-4)(x-3))`

Convert these to standard form and solve for 'a' and b':

`f(x)= (x^(2-4x+3) )/(x^(2)-7x+12 )`

a= -7

b= 12