PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different
1 answer:
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ANSWER
B. Domain is (-∞,∞) and Range is (-∞,∞).
The given function is
This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.
This function is defined for all real values of x.
Therefore the domain is all real numbers.
The range is all real numbers.
The domain for this function becomes the range for the inverse function and the range becomes the domain.
Hence the domain is (-∞,∞) and the range is (-∞,∞).
Answer:
we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
Step-by-step explanation:
Given
- f(x) = x²
- g(x) = f(3x)
so
- g(x) = (3x)² = 9x²
Thus, the graph of g(x) = 9x² is shown below.
From the graph, it is clear that at x = 0, y = 0
So, the y-intercept is at (0, 0).
Clearly
- f(x) = x²
- g(x) = 9x²
Note that the vertex of the graph also lies at (0, 0), because it is clear that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Since 9 > 0, it means g(x) = 9x² is vertically stretched by multiplying each of its y-coordinates by 9.
Therefore, we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
