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2 answers:
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The problem is asking you to simplify the exponents. When you multiply two or more powers with the same base, the exponents can be added and subtracted. In this case, the base is 7.
7 can also be written as
.
The answer would be 7³ if you kept the exponent, or 343 if you simplified further.
7 can also be written as
The answer would be 7³ if you kept the exponent, or 343 if you simplified further.
Answer:
A) f(x) has y-intercept at and g(x) has y-intercept at (0,0)
B) f(x) has asymptote as x= 0 and g(x) has asymptote as x= 4.
Step-by-step explanation:
The functions given are and the graph of g(x).
A): Since, <em>'y-intercepts are the points where the graph of the function cuts y-axis' </em>
<em>So, 'at x=0, we obtain y-intercepts'.</em>
Thus,
implies
Hence, is the y-intercept of f(x).
Now, we see that,
The graph of the function g(x) crosses y-axis at the point (0,0).
Hence, the (0,0) is the y-intercept of the function g(x).
B): As we know, <em>'asymptotes are the lines that approaches the curves but does not meet them'. </em>
As, the numerator of f(x) is of lower degree than the denominator.
We have, the function f(x) has x= 0 as the horizontal asymptote.
Further, graph of g(x) gives us, 'the line x= 4 is the asymptote'.
Hence, the function g(x) has vertical line x= 4 as the asymptote.