Need help with these problems. Which of these graphs represent a one-to-one func

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Need help with these problems.

Which of these graphs represent a one-to-one function? Students in a math class took a final exam (with a grade scale of 0 to 100) and then took equivalent forms of the exam a; monthly intervals thereafter. The average grade a after i months was found to be given by the function. g(t) = 76 - 5.6 ln(t + 1), greaterthanorequalto 0. Using the node!. What was the average grade when the students initially took the exam, when t = 0? What was the average grade on the exam when taken 4 months later, to the nearest integer? Find the composite function (f middot q)(x) and simplify the results. Show work. Find (f middot g)(-1). Show work. Let f(x) = 6x -1/2x + 7 What is the domain of f? What is the domain of f? What is the domain of the inverse function? What isf(- 4)? What is f^-1 where the number in the blank is your answer from part (c)? Use the quadratic polynomial to estimate the outdoor temperature at 7:30 am. to the nearest tenth of a degree. (work optional) Using algebraic techniques we have learned, find the maximum temperature predicted by the quadratic model and find the time when it occurred. Report the time to the nearest quarter hour(i.e., :00 or:15 or:30 or:45). (For instance, a time of I S.25 hours is reported as 6 15 pm.) Report the maximum temperature to the nearest tenth of a degree. Show algebraic work. Use the quadratic polynomial y = - 0.12t^2 + 3, 96 t + 31.63 together with algebra to estimate the time(s) or day when the outdoor temperature was 60 degrees. That is, solve the quadratic equation 60 = -0.12t^2 + 3.96t + 31.63. Show algebraic work in solving. Round the results to the nearest tenth. Write a concluding sentence to report the time(s) to the nearest quarter-hour, in the usual time notation. (Use more paper if needed)

Explanation / Answer

1) Graphically, we can determine if a function is 11 by using the Horizontal Line Test, which states: A graph represents a 11 function if and only if every horizontal line intersects that graph at most once.

Graphs A and D are 1 to 1 as a horizontal line would intersect the graph only once .

2) a) g(t) = 76 - 5.6ln(t+1)

when t=0 ; g(0) = 76 -5.6ln1 = 76

b) when t= 4 ; g(4) = 76 - 5.6ln5 = 66.98

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