Algebra

There are several curves here.

Q1. Could you say how many functions are producing these curves?
Q2. There is one curve with only a reciprocal function. Which is it?

If you can correlate functions with graphs, try the following:
Q3.  Which curve correlates with the function f(x)?
Q4.  Which curve correlates with the functions g(x)?
Q5.  Which curve correlates with the function eq1(x)?
Q6.  Which curve correlates with the functions h(x)?
Q7.  Which function forms the rectangular hyperbola?
Q8.   What is the value of g(x) as x = 1? Locate (1, 2) on g(x).
Q9.   What is the value of g(x) as x = 2? Locate (2, 2.5) on g(x).
Q10. What is the value of g(x) as x = 10? Locate (10, 10.1) on g(x).
Q11. What is the value of g(x) as x = 100? Justify why the curve g(x) at x = 100 goes through the point (100, 100.01)
Q12.  The curve y = x (not given here) goes through the points (0, 0), (2, 2), (10, 10), (100, 100) while g(x) goes through (100, 100.01). What striking resemblance can you observe between g(x) and y = x? Use your imagination and the information given to answer this question.

Algebra (from the Arabic الجبر ("al-djebr" meaning "reunion", "connection" or "completion")) is a branch of mathematics which may be defined as a generalization and extension of and is focused on finding patterns between groups of numbers, operators, and

other mathematical objects. The following category includes articles about algebra. Algebra is also a branch of mathematics that substitutes letters for numbers, replacing the unknown value with a letter.

Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.^[5] For example, in ${\displaystyle x+2=5}$ the letter ${\displaystyle x}$ is unknown, but applying additive inverses can reveal its value: ${\displaystyle x=3}$. In E = mc², the letters ${\displaystyle E}$ and ${\displaystyle m}$ are variables, and the letter ${\displaystyle c}$ is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.