# Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Question 185936: I seem to be having problems with the graphing portions. I never know what the graph is going to look like based on the equation. For example, y=(3x^2+4x+4)/(x^2-5x-6). With this problem, I need to find the x-intercepts, the vertical asymptote and (if applicable) the horizontal asymptote. Could you please help me solve this problem? Is there a trick to knowing what general shape your graph will have depending on the equation? Thank you for your time. Click here to see answer by stanbon(57387)

 Question 185956: Could someone please help me find the equation of the line that goes through the points (-4,2) and (-3,-7). I am terrible at graphing and equations and in need of help. Thanks for your help in advance. Click here to see answer by Alan3354(30993)
 Question 185956: Could someone please help me find the equation of the line that goes through the points (-4,2) and (-3,-7). I am terrible at graphing and equations and in need of help. Thanks for your help in advance. Click here to see answer by stanbon(57387)

 Question 185955: Could someone please help me with step by step instructions on how to graph this function. The question reads: g(x)=x^+3, where x is an integer and -2<= x <=2. I cannot figure this out and in desperate need of step by step instructions. Thanks in advance for your help with this question. Click here to see answer by Alan3354(30993)

 Question 186130: Find the equation of each line in standard form satisfying the conditions given. through (-3, -1), slope = 1 Click here to see answer by checkley77(12569)

 Question 186131: Find an equation of the line in function notation through (2, -6) and perpendicular to -3x - 5y = 2. Click here to see answer by jojo14344(1512)

 Question 186299: I'm not sure which section this would go under...see, I'm in algebra 3. On my review a question says to write the function f(x)=x^2 + 18x + 77 in standard form. The answer given is f(x)=(x+9)^2 -4. I understand the (x+9)^2 part, but for some reason I am stumped about the -4. If someone could please help I'd appreciate it greatly. Thanks so much! Click here to see answer by stanbon(57387)

 Question 186306: state the inverse of: for x is less than or equal to 0 please show work. i know the answer is thank you thank you thank you! Click here to see answer by stanbon(57387)

 Question 186303: Ok...I'm terrible at the whole finding zeros...if you could give some tips that would be LOVED! Here's the question: find all real zeroes of the polynomial function f(x)=x^3 + 9x^2 - 4x - 36 and determine the multiplicity of each Some help is greatly appreciated! Thanks!!! Click here to see answer by ankor@dixie-net.com(15660)

 Question 186324: Forensic scientists use the folloiwng function to find the height of a woman if they are given the height of her tibia bone t in centimeters. H(t) = 2.72t + 61.28 Find the height of a woman whose tibia measures 35 centimeters Click here to see answer by checkley77(12569)

 Question 186432: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value. f(g(0)) g(f(4/5)) thanks for you help.. xo Click here to see answer by jim_thompson5910(28598)

 Question 186434: Find the inverse of each function. Is the inverse a function? f(x)=3x+2 f(x)=x^2-5 Click here to see answer by stanbon(57387)
 Question 186434: Find the inverse of each function. Is the inverse a function? f(x)=3x+2 f(x)=x^2-5 Click here to see answer by jim_thompson5910(28598)

 Question 186431: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value. g(f(-1)) f(g(2)) g(f(0)) Click here to see answer by stanbon(57387)

 Question 186400: State the possible number of positive real zeros, negative real zeros & imaginary zero of this function 6. F(x)= 5x^3+8x^3-4x+3 Click here to see answer by kev82(148)

 Question 186580: Solve each equation. State the number and type of roots. 4. x^2+4=0 Click here to see answer by jim_thompson5910(28598)

 Question 186433: Find the inverse of each function. Is the inverse a function? f(x)=(x+2)^2-4 f(x)=4x^3-1 Click here to see answer by feliz1965(151)

 Question 186429: Let f(x) = x2 + 5 and g(x) = x – 7. Perform each function operation. Then find the domain of each. f(x)/g(x) f(x)times g(x) Click here to see answer by uday1435(57)

 Question 186722: I need help on this problem. State the possible number of positive real zeros, negative real zeros, and imaginary zero of this function. 7. r(x)= x^5-x^3-x+1 Click here to see answer by vleith(2825)

 Question 186789: I have got a questions are sqrt(625) and sqrt(48) rational or irrational? Click here to see answer by checkley77(12569)

 Question 186805: Simplify the expression. x over x^2+2x-3 subtracting 1 over x^2+2x-3 I worked it out to: 1 /x-3 Am I correct? Click here to see answer by scott8148(6628)

 Question 186941: List all of the possible rational zeros of this function. 12. f(x)=x^3+6x+2 Click here to see answer by jim_thompson5910(28598)

 Question 187028: Directions: Solve each equation. State the number and type of roots. Problem: -5x-7=0 I have: -5x-7=0 +7+7 -5x/-5=7/-5 x=-1.4 Click here to see answer by stanbon(57387)

 Question 187057: List all the possible rational zeros of this function. 13. h(x)=x^3+8x+6 Click here to see answer by jim_thompson5910(28598)

 Question 187061: List all the possible rational zeros of each function 14) f(x)= 3x^4+15 p=(+or-)1: (+or-)15: (+or-)3: (+or-)5: q= (+or-) 3 " if q isn't right then, how would you know what is q? Click here to see answer by jim_thompson5910(28598)

 Question 187067: List all the possible rational zeros of each function 15. n(x)=x^5+6x^3-12x+18 p= (+or-)2; (+or-)9; (+or-)3; (+or-)6 (+or-)18 q= (+or-) 1 1/2, 1/9, 1/3, 1/6, 1/18 Rational Zeros 1,9,3,6,18 I'm wondering if i solved this problem correctly? Click here to see answer by jim_thompson5910(28598)

 Question 187074: List all the possible rational zeros of each function 16. p(x)=3x^3-5x^2-11x+3 p= (+or-)1, (+or-)3 q= (+or-)1, (+or-)3 1/1, 1/3, 1/-3, -3/-3 rational zeros 1,3,-3 Making sure if i did the division & simplifying part correct? Click here to see answer by jim_thompson5910(28598)

 Question 187076: Find all of the rational zeros of each function 22. f(x)=2x^5-x^4-2x+1 Click here to see answer by jim_thompson5910(28598)

 Question 187079: Find all of the rational zeros of each function 26. p(x)= x^3+3x^2-25x+21 p= (+or-)1, (+or-)3, (+or-)7, (+or-)21 q= (+or-)1 1/1 1/3, 1/7, 1/21 Click here to see answer by jim_thompson5910(28598)