Question

I need help solving this practice*There are four questions that go along with this *Here are the answer options for each question A.) is tangent to B.) crosses straight throughC.) crosses through while hugging

Answer 1

The behavior of a graph at its zeros is affected by the multiplicity. The following rules help to know the tendency:

1) If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero.

2) If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity.

3) If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.

QUESTION 1

-6 has a multiplicity of 2. This means that the graph bounces off the x-axis.

Answer: A) is tangent to

QUESTION 2

0 has a multiplicity of 1. This means that it cuts the x-axis.

Answer: B) crosses straight through

QUESTION 3

1 has a multiplicity of 3. This means that it cuts the x-axis while hugging it.

Answer: C) crosses through while hugging



QUESTION 4

4 has a multiplicity of 1. This means that it cuts the x-axis.

Answer: B) crosses straight through