SOLUTION: Fill in Table A for the exponential function y=3^x Use the "inverse property" to fill in Table B.
Table A- (x)[-1,0,1,2] (y=3^x)[MUST FILL IN]
Table B-(x)[MUST FILL IN] (i
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-> SOLUTION: Fill in Table A for the exponential function y=3^x Use the "inverse property" to fill in Table B.
Table A- (x)[-1,0,1,2] (y=3^x)[MUST FILL IN]
Table B-(x)[MUST FILL IN] (i
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Question 1140124: Fill in Table A for the exponential function y=3^x Use the "inverse property" to fill in Table B.
Table A- (x)[-1,0,1,2] (y=3^x)[MUST FILL IN]
Table B-(x)[MUST FILL IN] (inverse)[MUST FILL IN]
b. Plot the points from TABLE B t sketch a graph of the inverse
c. Use your graph from (b) to give the natural domain and range of the inverse
Table B-
first find the inverse:
........swap and ..........solve for , take a log of both sides
| |.............->no real solution |.............->-∞ |............. |.............
b. Plot the points from TABLE B t sketch a graph of the inverse
c. Use your graph from (b) to give the natural domain and range of the inverse
domain :{ element : } (all positive real numbers)
and
range: (all real numbers)
You can put this solution on YOUR website! y = 3^x
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domain of this function is all real numbers, the function does not cross the x-axis, therefore there are no roots (x-intercepts)
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here is a graph of the equation y = 3^x
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the real solution for the inverse, interchange x and y and solve for y
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x = 3^y
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take the natural logarithm of both sides of =
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ln(x) = y * ln(3)
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y = ln(x)/ln(3)
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f^(-1) (x) = ln(x)/ln(3) for x > 0
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here is a graph of the inverse
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