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Algebra
All exponential functions have as domain the set of real numbers because the domain is the set of numbers that can enter the function and enable to produce a number as output. In exponential functions whatever real number can be operated. (-infinity, infinity)
You have ln (x+4) so everything is shifted by 4. The domain of ln (x+4) is now -4 < x < infinity (Shifting infinity by a finite number gives you infinity again.) So,-4 < x < infinity is the domain of ln (x+4).
(2 [less than] t [less than] infinity)
For your function f (t) = 5.5exp (t) the function is continuous for all values of t as exp (t) is continuous for all values...
The domain of the function is -oo < t < oo
2a. subtracting 3 on the inside the function moves it 3 units to the right, that's the only transformation.
the vertical asymptote results from an invalid input to the function, like dividing by zero or taking the square root of a negative number, or in this case, taking the log of zero. so we need to find the value where x-3=0, thus the asymptote occurs at x=3. The x intercept is when y (or g (x) in this case)=0-0=g (x)=log (x-3) log (x-3)=0 x-3=10^0 x-3=1 x=4 so the intercept is at (4,0)
2b. We see that the right side of g (x), which is -log (x), is the result of multiplying the…
Once the concept of factoring is understood, technology can be used to assist the students with solving quadratic equations and equalities. The website (http://www.coolmath.com/algebra/) will be references, but the students will have to write explanations showing that they understand how at least two homework problems were solved. 4. By the time we are ready to learn inverse functions, students will have a review of everything learned during the school year
Students will present their findings to the class. 2. In groups, students will graph population growth and predict future trends using exponential functions (Ormond 2010). A data set is available at: http://serc.carleton.edu/files/quantskills/events/NAGT02/quantskillsworldpop.pdf. Students will discuss the political and environmental implications of their findings. 3. Students will perform an exercise using exponential functions graphing increases in atmospheric CO2 concentrations (Ormond 2010). A data set is available at: http://serc.carleton.edu/files/quantskills/events/NAGT02/co2moe2edit.pdf Students will discuss the political
At which point, the students would begin studying composition of functions to verify each other. There will be a brief period of one day, to review the information that was covered during the quarter. (Cox, 2006) In the first week of August, is when a comprehensive review will take place, covering everything that was presented in the year and preparing students, for their achievement as well as quarterly examinations. At