Which function equation is represented by the graph. a) f(x) = 50(1.5)^x B) f (x) =50(1.8)^x. C) f(x) = 50(2.8)^x D) f(x) = 50(2
2 answers:
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Answer:
zeros: x = 5, or (5, 0)
domain: x ≥ -4
Step-by-step explanation:
The zeros are the values of x where the graph crosses the x-axis. The graph crosses at x=5, so that is the zero.
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The domain is the set of x-values for which the function is defined. There is no graph for x < -4, so the graph is only defined for x ≥ -4. The domain is x ≥ -4.
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The graph has the appearance of the graph of ...
Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
- (x, y) → (y, -x)
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
