Use the functions f(x) and g(x) to determine which function has the smallest zero and provide its coordinates.
1 answer:
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Answer:
- none
- none
- x ≥ 4
Step-by-step explanation:
The restrictions placed on the independent variable in a function are those necessary to ensure that the function is defined for all allowed values of that variable.
In the graphs of problems 1) and 2), we see that the functions are defined for all values of x, so there are no restrictions.
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3. For the function ...
the value under the radical cannot be negative. The square root function is not defined for negative values, so the restriction is ...
x -4 ≥ 0
x ≥ 4 . . . . . . . add 4 to both sides of the inequality
A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.
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If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107
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If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107