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In the following exercises, use the graph of function
55.
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- Use function f(x)=1/x to find: a. 2 b. f(a+2) c. f(0)arrow_forwardQ4:- Find the algebraic form of the following functions:- a) f(x) = tan (secx) %3Darrow_forwardUse 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_forward
- Given the function f(x)=x²: (a) Carefully, graph the function from x=-1 to x= 2 (use a ruler and make it big enough).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_forwardFor the function yfixi whose graph is shown below, find the points of discontinuity and give the reasons of discontinuity at cach point. y=(x) 3.arrow_forward
- for function : in the picture Please sketch f(x)!arrow_forwardUse the graph of y=f(x) shown to the right to graph the following function g.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
- Use 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_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_forwardFor the function h(x,y): Find the domain and draw its graph.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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