Concept explainers
For the following exercises, use a calculator to find the answer.
53. Graph on the same set of axes
What appears to be the effect of adding or subtractingthose numbers?
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College Algebra
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PREALGEBRA
- For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6arrow_forwardFor the following exercises, graph the functions. f(x)=x22arrow_forwardFor the following exercises, describe the end behavior of the graphs of the functions. f(x)=3(4)x+2arrow_forward
- For the following exercises, graph the functions. 12. f(x)=|x+1|arrow_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_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_forward
- Graph the quadratic function f(x)=x2+4x+5 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why?arrow_forwardFor the following exercises, write the equation for the standard function represented by each of the graphs below.arrow_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. 51.Y1=8x+6arrow_forward
- For the following exercises, graph the given functions by hand. y=x32arrow_forwardFor the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constantrate of 2,500 per year for 5 years. If the function P is graphed, find and interpret thex-and y-intercepts.arrow_forwardFor the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted. If the function C is graphed, find and interpret the x-and y-intercepts.arrow_forward
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