Define a relation R from R to R as follows: For all (x, y) ? R×R, (x, y) ? R if, and only if, x = y^2 + 1.
(a) Is (2, 5) ? R? Is (5, 2) ? R? Is (?3) R 10? Is 10 R (?3)?
(b) Draw the graph of R in the Cartesian plane.
(c) Is R a function from R to R? Explain.
a. No; Yes; No; Yes
b. Draw the graph of R in the Cartesian plane.
c. No: R fails both conditions for being a function from R to R. (1) There are many elements in R
that are not related to any element in R. For instance, none of 0, 1=2, and ?1 is related to any element
of R. (2) there are elements in R that are related to two different elements in R. For instance 2 is
related to both 1 and ?1.
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Solve the proportion.- 
= 
A. {-48}
B. {-16}
C. 
D. 
Factor out the greatest common factor.14x4 - 4x3 + 8x2
A. 2x2(7x2 - 2x + 4) B. x2(14x2 - 4x + 8) C. 2x(7x3 - 2x2 + 4x) D. 2(7x4 - 2x3 + 4x2)
Find the simple interest. Round your answer to the nearest cent.Principal = $540Rate = 17%Time in months = 6
A. $4590.00 B. $45.90 C. $550.80 D. $15.30
Multiply and simplify. Assume that all variables represent positive real numbers.(
+ 
)(
- 
)
A. 10 - 2
B. 10 - z
C. 10z
D. 10 - 2