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 .
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- E
Q3:
Consider the equation . In the following, find a solution by filling the blank space.
.
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- B
- C
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- E
.
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- E
.
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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 .
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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 ?
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- B
- C
- D
- E
Q7:
Which points in the graph represent a solution to the equation ?
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- C
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- 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.
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- B
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- D
- E
Q9:
Which points in the graph represent a solution to the equation ?
- A
- B
- C and
- D and
- E and