math
posted by jun .
With regards to question J:
The variables x and y are connected by the equation y = x2  x  5. Some corresponding values of x and y are given in the table below.
x 4 3 2 1 0 1 2 3 4 5
y 15 7 a 3 5 b 3 1 7 15
(a) Calculate the values of a and b
(b) Use 2 cm to represent 1 unit on the xaxis and 1 cm to represent
1 unit on the yaxis, draw the graph of y = x2  x  5 for
 4 £ x £ 5.
(c) Use the graph to find
(i) the value of y when x =  3.5
(ii) the values of x when y =  2
(iii) the minimum value of y
(iv) the values of x when y = 0
(v) the value of y when x = 0
(vi) the range of values of y when 2 < x < 2
(d) By drawing a suitable straight line to intersect the curve graph,
find the solutions to the equation
(i) x2  x  5 = 0
(ii) x2  x  5 = 2x + 1
(iii) x2  x = 8
(e) Use your graph to solve the inequality x2  x  5 > 2x + 1
(f) By drawing a tangent, find the gradient of the curve y = x2  x  5
at the point (2, 3)
(g) By drawing a suitable tangent to the curve, find the coordinates of
the point A at which the gradient of the tangent at A is 1
(h) From the graph, find the values of x for which the gradient is positive.
(i) Describe fully the symmetry of the graph.
(j) Find the cubic equation which is satisfied by the x values of the intersecting point of the curve x2  x  5 and the curve 1/x
How do one go about solving it?
thks!
Respond to this Question
Similar Questions

math 157
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the … 
chemistry
write the corresponding subshell leters for the combinations given. Fill in the possible number of electrons for these subshells. 1) n=1 2) l value=0 3) l letter? 
Mathematics
Are the figures below similar? Why or why not? 
math
complete the table given values of x. then use the table to solve the given equation numerically. x5=4 x 1 0 1 2 3 x5 6 
MathAlgebra
Given the table with values for A and r, answer the folowing: r 2 3 4 5 A 12.57 11.31 50.28 78.56 a. What equation represtnts the relationship of the values in the table above? 
Math (pre calculus)
State whether the given equation is true for all values of the variables (disregard any value that makes a denominator zero) equation one (2/ 4 + x) = (1/2) + (2/x) equation two (1 + x + x^2 / x) = (1/x) + 1 + x 
Algebra
Complete the table for each function. 1. f(x) = √x The x values are 0, 1,4 and 9. The corresponding y values that I got are 0, 1, 2 and 3. 2. g(x) = 1/4√ x The x values are 0, 1, 4, and 9. The corresponding y values that … 
Calculus
Messed this up on my last question. Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of ∫f(x)dx where a=1 b=10 x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16 
algebra
The Jackson High School gymnastics team sells calendars for their annual fundraiser. The function rule below describes the amount of money the team can raise, where y is the total amount in dollars, and x is the number of calendars … 
Math
use the table below to answer the question that follows. n 2 4 6 < this is the table m 8 16 24 Which function would help you find the values in the table A.m = 2n B.m = n2 C.m = n4 D.m = 4n*** My Answer Is D am i right