The graph of f(x), shown below has the same shape as the graph has the same shape as the graph of g(x)=x^4-X^2 which contains th
e (0,0) which of the following is the equation of f(x)
2 answers:
It's always a wise choice to create a graph for a question of this nature. Below are the three graphs:
y = x^4 - x^2 Color: Red This represents the original graph
y = x^4 - x^2 - 4 Color Blue This graph has -4 added to it.
y = x^4 - x^2 + 4 Color Green This graph includes 4 added to the original graph.
Which one is accurate? The red and blue graphs do not work. The desired graph should elevate from the original graph. The original graph (red, with nothing added) is incorrect as it intersects the x-axis. The appropriate graph does not intersect there.
The same goes for the blue graph. It also intersects the x-axis. This means only the green option remains.
Response: C
y = x^4 - x^2 Color: Red This represents the original graph
y = x^4 - x^2 - 4 Color Blue This graph has -4 added to it.
y = x^4 - x^2 + 4 Color Green This graph includes 4 added to the original graph.
Which one is accurate? The red and blue graphs do not work. The desired graph should elevate from the original graph. The original graph (red, with nothing added) is incorrect as it intersects the x-axis. The appropriate graph does not intersect there.
The same goes for the blue graph. It also intersects the x-axis. This means only the green option remains.
Response: C
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Question
Which expression is equivalent to . Assuming
Answer:
Step-by-step explanation:
Given
Required:
Simplify
To achieve simplification, we begin by dividing each function individually
According to the properties of indices
Thus, the aforementioned expression can be restated similarly
From the indices laws
So,
Therefore, can be regarded as
Response:
The correct option is: C.
C. {(-2, 4), (-1, 2), (0, 0), (1, -2)}
Detailed explanation:
A strong negative correlation is present--
In this context, a negative correlation signifies that as one variable increases, the other decreases, and vice versa.
This indicates an inverse relationship between the two variables.
Furthermore, this relationship is considered strong if the data points cluster above the line of best fit.
Thus, the data set illustrating a robust negative correlation is:
C. {(-2, 4), (-1, 2), (0, 0), (1, -2)}
In this scenario, the x-values increase consistently by 1 (i.e., -2, -1, 0, 1), while the corresponding values decrease steadily by 2 (i.e., 4, 2, 0, -2).
As a result, a linear correlation emerges with all points positioned above the line, and the line of best fit exhibits a negative slope.
Thus, the data shows a strong negative correlation.
