In this worksheet, we will practice finding the solution of an equation that has only one root by graphing and verifying the answer algebraically.

**Q2: **

The graph in the diagram represents the function . Without performing any calculation, use the graph to solve .

- A
- B
- C
- D
- E

**Q3: **

Consider the equation . In the following, find a solution by filling the blank space.

.

- A
- B
- C
- D
- E

.

- A
- B
- C
- D
- E

.

- A
- B
- C
- D
- E

These solutions can be plotted as seen in the figure. What will be true of any other solution plotted in the plane?

- AThey will lie on the line.
- BThey will lie on the -axis.
- CThey will not lie on the line.
- DThey will lie in the same quadrant.
- EThey will not lie in the same quadrant.

**Q4: **

Which points in the graph represent a solution to the equation .

- A
- B
- C
- D
- E

**Q5: **

Consider the equation . In the following, find a solution by filling the blank space.

.

- A
- B
- C
- D
- E

.

- A
- B
- C
- D
- E

.

- A
- B
- C
- D
- E

These solutions can be plotted as seen in the figure. What will be true of any other solution plotted in the plane?

- AThey will lie on the line.
- BThey will lie on the -axis.
- CThey will not lie on the line.
- DThey will lie in the same quadrant.
- EThey will not lie in the same quadrant.

**Q6: **

Which points in the graph represent a solution to the equation ?

- A
- B
- C
- D
- E

**Q7: **

Which points in the graph represent a solution to the equation ?

- A
- B
- C
- D
- E

**Q8: **

Let’s consider the equation .

Karim says that to solve this equation graphically, one has to graph the function . Nada says that she can solve it graphically without rearranging the equation in the form but by graphing the function . Who is correct?

- AOnly Nada
- BOnly Karim
- CNeither of them are correct.
- DBoth of them are correct.

Without doing any calculation, solve the equation graphically.

- A
- B
- C
- D
- E

**Q9: **

Which points in the graph represent a solution to the equation ?

- A
- B
- C and
- D and
- E and