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By using transformations sketch the graph of the given functions.
h ( x ) = ( x + 2)3
Solution
With these we have to first identify the "base" function. i.e. the function that's being shifted. In this case it seem like we are shifting f ( x ) = x3 . Then we can see that,
h ( x ) = ( x + 2)3 = f (x + 2)
In this case c = 2 and thus we're going to shift the graph of f ( x ) = x3 (the dotted line on the graph below) & move it 2 units to the left. It will mean subtracting two from the x coordinates of all the points on f ( x ) = x3 .
Following is the graph for this problem.
2(5x-4)-6
e^4x-5 -8=14403 Solution in Natural Log
There are also two lines on each of the graph. These lines are called asymptotes and as the graphs illustrates as we make x large (in both the +ve and -ve sense) the graph of the h
40x-30y=15 x+50y=-25
why is the slope of two perpendicular line a negative reciprocal
Actually here we're not going to look at a general cubic polynomial. Here we are jsut going to look at f ( x ) = x 3 . Really there isn't much to do here other than only plugging
The last topic that we have to discuss in this section is the change of base formula. Most of the calculators these days are able of evaluating common logarithms & natural logar
123/4=
8x^2+16x^3
convert 2543 to a decimal base 10 to binary base 2
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