Math113
JhanelleD
Math1113.docxSpring 2021
Math 1113
Name___________________________________
Please answer the following questions by showing the necessary steps. (Please show all work)
1)
i) Find f(6) =__________________
ii) Find f(0) =________________
2) Find the domain of
ii)
3) The polynomial P(x) = 0.5x – 10 models the relationship between the number of pens, x, that a certain vendor sells and the profit, P(x), the vendor makes.
i) Find P (100)=___________________.
ii) What does P (100) represent?
4) Given f(x) = 4x2 - 6x, g(x) = 8x – 7.
i) Find (f∘g)(1) =____________________
ii) Find (g o f) (1)=____________________
5) Given f(x) = -2x2 + 5 and g(x) = -x +3.
i) Find (g-f) (2)=_______________________
ii)Find (f+g)(-1)=______________________
iii)Find (f.g)(0)=_____________________
iv) (f/g)(1)= ____________________________
7) Find the inverse of
i)f(x) = 2x+3
9) Given the quadratic function f(x)= x2-6x+8,
i) Find the vertex of the graph of the function
ii)Find the range of the function
iii)Write the function in standard form, i.e, f(x)= a(x-h)2+k
iv)Write the equation of axis of symmetry
10) Sketch the graph of y= (x-5)2.
11) Find all possible rational zeros of the function f(x)=3x4+7x2-56x-9
12) Find all the asymptotes of the rational function
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