The equation y=x^3 + 3 is symmetric with respect to which of he following?
1 answer:
Subtract 3 from both sides,
Let x = X and y - 3 = Y
Then,
So, we have shifted the origin to a point (0, 3).
This is an odd function and the graph of an odd function is symmetrical about the origin.
That is, symmetrical about X = 0, Y = 0
Symmetrical about x = 0,, y - 3 = 0
Symmetrical about x = 0, y = 3.
Hence, the graph is symmetrical about the point (0, 3).
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Answer:
A
Step-by-step explanation:
An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.
For expression A
The denominator will be zero when x² - 4 = 0
x² - 4 is a difference of squares, thus
(x - 2)(x + 2) = 0
x - 2 = 0 ⇒ x = 2
x + 2 = 0 ⇒ x = - 2
The excluded values of x are x = ± 2 ⇒ A
Answer:
2n + 2
Step-by-step explanation:
The formula for nth term of an arithmetic progression is
In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).