Graphing Reciprocal Functions-3

Question

What are the asymptotes, domain, and range for the function y=(-1)/(x+4)-5 ? Read all choices carefully. Respond slowly.

Vertical asymptote of x = –4. Horizonatal asymptote of y = –5. Domain: All real x except x = –5. Range: All real y except y = –4.

Vertical asymptote of x = –4. Horizonatal asymptote of y = –5. Domain: All real x except x = –4. Range: All real y except y = –5.

Vertical asymptote of x = –5. Horizonatal asymptote of y = –4. Domain: All real x except x = –5. Range: All real y except y = –4.

Vertical asymptote of x = 4. Horizonatal asymptote of y = –5. Domain: All real x except x = 4. Range: All real y except y = –5.

Vertical asymptote of x = –5. Horizonatal asymptote of y = 4. Domain: All real x except x = –5. Range: All real y except y = 4.

What are the asymptotes, domain, and range for the function y=1/(x+5)+2 ? Read all choices carefully.

Vertical asymptote of x = 2. Horizonatal asymptote of y = 5. Domain: All real x except x = 2. Range: All real y except y = 5.

Vertical asymptote of x = 5. Horizonatal asymptote of y = 2. Domain: All real x except x = 5. Range: All real y except y = 2.

Vertical asymptote of x = –5. Horizonatal asymptote of y = 2. Domain: All real x except x = –5. Range: All real y except y = 2.

Vertical asymptote of x = –5. Horizonatal asymptote of y = 2. Domain: All real x except x = 2. Range: All real y except y = –5.

Vertical asymptote of x = 2. Horizonatal asymptote of y = –5. Domain: All real x except x = 2. Range: All real y except y = –5.

What are the asymptotes, domain, and range for the function y=4/(x-2)+3 ? Read all choices carefully. Respond slowly.

Vertical asymptote of x = 3. Horizonatal asymptote of y = 2. Domain: All real x except x = 3. Range: All real y except y = 2.

Vertical asymptote of x = 3. Horizonatal asymptote of y = –2. Domain: All real x except x = 3. Range: All real y except y = –2.

Vertical asymptote of x = 2. Horizonatal asymptote of y = 3. Domain: All real x except x = 2. Range: All real y except y = 3.

Vertical asymptote of x = 2. Horizonatal asymptote of y = 3. Domain: All real x except x = 3. Range: All real y except y = 2.

Vertical asymptote of x = –2. Horizonatal asymptote of y = 3. Domain: All real x except x = –2. Range: All real y except y = 3.

Answer 1

The denominator of the equation will give you the vertical asymptote and break in the domain. Set the factor equal to zero and solve

x+4 = 0 Subtract 4 from both sides

x=-4

y=(-1)/(x+4)-5 The highlighted term is what will give you the horizonatal asymptote and the break in the range.

So the correct answer for the first one is:

Vertical asymptote of x = –4. Horizonatal asymptote of y = –5. Domain: All real x except x = –4. Range: All real y except y = –5