Page 1 of3 Math 251 Week 1 Activity- Spring 2018 Some of these problems are revi
ID: 2886585 • Letter: P
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Page 1 of3 Math 251 Week 1 Activity- Spring 2018 Some of these problems are reviewing material that would be covered in college algebra MTH 111). Some of these problems are related to the new material we have covered in lecture". Some of these problems may be covering material that is slightly ahead of where we are in "lecture". Please use a separate sheet of paper for your solutions. (1) Let's review the concept of a function (a) What is your definition of a function? (in your own words) (b) What is your definition of the domain of a function? (in your own words) (e) What is your definition of the range of a function? (in your own words) (d) What are some important features of a function that we can identify from its graph? (2) A tire manufacturer is preparing to make a batch of tires. The function g(t) computes the amount of rubber (measured in pounds) needed to produce t tires, and f(x) computes the cost (measured in dollars) of obtaining r pounds of rubber. What are the units of (f o g)(500)? (3) Let T- f(t) be a function that gives the amount of fuel consumed by a rocket (in tons) t seconds after launch. Describe in words what each of the following represents. Include units. (a) f(5) (b) f-1(5) -5s2-15?+20 =-5(z-1)(z+4). Find the following if they exist. (4) Let 1()+6-20+5) (a) Equation(s) of any vertical asymptote(s): (b) Equation(s) of any horizontal asymptote(s): (5) Find an equation of the line passing through (9,14) with slope 3: Write your answer in the point-slope form, y-y0 xo. (6) Find the average rate of change of f(z)-2+1 on the interval [1,4]Explanation / Answer
I am solving the Question 1 with all sub-parts (four) as per Chegg guidelines, post multiple question to get the remaining answer
Q1)
a) The function is a special type of relation for which each value from the set of first component of ordered pairs is associated with the set of second components of the ordered pair.
The function takes definite value and generally depends on one or more variables to obtain its value at particular point
b) The domain represents the set of all permissible values of the variables (one ore more variables) which can be taken as an input of the function
c) The range represents the set of all output values on the domain of the function depending variables
d) The graph of the function can help us identify the maxima (highest value obtained by the graph in the domain). minima (lowest value obtained by the graph in the domain), domain, range, for what values of domain, the function is increasing, for what value it is decreasing, what are critical and non-permissible points
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