Answer:
36
Step-by-step explanation:
23+13 because it's the length of both the lines
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.
A number line is a line that extends infinitely in both directions (marked by arrows) that shows a range of numbers with a consistent distance between increments.
- Draw a line
- Draw arrows on both sides pointing out
- Write the minimum and maximum values on the left and right side repectively
- Add appropriate increments with equal distances on the number line