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In the following exercises, use the graph of the function
71.
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- for function : in the picture Please sketch f(x)!arrow_forwardStarting with the graph of f(x) = 4ª, write the formula for the function that results from (a) shifting f(x) 1 units downward. y = 4* – 1 (b) shifting f(x) 5 units to the right. y = (c) reflecting f(x) about the x-axis. yarrow_forwardQ4:- Find the algebraic form of the following functions:- a) f(x) = tan (secx) %3Darrow_forward
- Use the position function s(t) = −16t2 + 500, which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by lim s(a) − s(t)/ a − tt→a A construction worker drops a full paint can from a height of 500 feet. When, in seconds, will the paint can hit the ground? At what velocity, in feet per second, will the paint can impact the ground?arrow_forwardConsider the function below. (If you need to use -0 or o, enter -INFINITY or INFINITY.) f (x) = Vr² +7 – I (a) Find the horizontal asymptote. y = (b) Find the interval where the function is decreasing. (c) Find the interval where the function is concave up. (d) Use this information to sketch the graph of f. (Do this on paper. Your instructor may ask you to turn in this graph.)arrow_forwardStarting with the graph of f(x)=9x, write the formula for the function that results from: a. shifting f(x) 3 units to the right. b. reflecting f(x) about the x-axis and the y-axis.arrow_forward
- Graph by hand f(x)= -2tan(x/2) for x between 0 and 2pi. Show a table of values.arrow_forwarduse the graph of y=f(x) below to sketch the following. name and label each function y=f(-x)=sqrt(4-x^2)arrow_forwardFor the function f graphed below, find each of the following. y 4 1 2 4 -1 -8 -6 -4 -2 6. -2 -3 -4 (a) limf (x) = x→4 ? Edit (b) limf (x) = x→4* Edit 3.arrow_forward
- Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, eriter DNE. x) = (x-9)/3 Concave upward: Concave downward:arrow_forwardStarting with the graph of f(x) = 6ª, write the formula for the function that results from (a) shifting f(x) 2 units upward. y = (b) shifting f(x) 4 units to the left. y = (c) reflecting f(x) about the x-axis. y =arrow_forwardUse the position s(t) = -16t2 + 500, the height (in feet) of an object that has fallen fort seconds from a height of 500 feet. The velocity at time t = a is given by s(a) – s(t) lim t-a а — t a. If a construction worker drops a wrench from a height of 500 feet, how fast will the wrench be falling after 2 seconds? b. If a construction worker drops a wrench from a height of 500 feet, when will the wrench hit the ground? At what velocity will the wrench impact the ground?arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
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