Is this true or false? to make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb: the function has a vertical asymptote at every x-value where its numerator is zero, and you can make a table for each vertical asymptote to find out what happens to the function there.

The answer is False.

Step-by-step explanation:

To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb:

The function has a vertical asymptote at every x-value where its numerator is zero, and you can make a table for each vertical asymptote to find out what happens to the function there.

This statement is false.

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

Dilation is a transformation which maps the triangle into similar triangle, so

Thus,

Similar triangle have congruent corresponding angles, so

and proportional corresponding sides

Thus, correct options are: