For the following exercises, use a calculator with CAS to answer the questions.
55. Consider
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Graphical Approach To College Algebra
- For the following exercises, consider this scenario: For each year t , the population of a forest of trees is represented by the function A(t)=115(1.025)t. In a neighboring forest, the population of the same type of tree is represented by the function B(t)=82(1.029)t. (Round answers to the nearest whole number.) Which forest had a greater number of trees initially? By how many?arrow_forwardFor the following exercises, refer to Table 9. Use the intersect feature to find the value of x for which f(x)=7 .arrow_forwardFor the following exercises, find (fg)(x) and (gf)(x) for each pair of functions. 36. f(x)=x2+2x,g(x)=5x+1arrow_forward
- For the following exercises, describe the end behavior of the graphs of the functions. f(x)=3(4)x+2arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 52.Y1=4x7arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 53.Y1=3x+54 Round your answer to the nearest thousandth.arrow_forward
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