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what are the basic topics thas have to be covered to get onto calculus

arjit singh , 12 Years ago
Grade 12
anser 1 Answers
Komal
Do you understand what a function is?
Do you understand what it means for a function to be invertable?
Do you understand the real line? The difference between the rational numbers and the reals?
Restricting the scope to functions from real numbers to real numbers, do you understand, in general, how to plot such a function on an x-y Cartesian plane?
Given a plot of an invertable function, can you sketch the plot of the inverse of that function?
Given the plot of a function y = f(x), can you sketch the plot of y = a*f(x), y=f(x) + b, y = f(cx), y=f(x+d), and y=1/f(x) for known quantities a, b, c, and d??
Can you sketch plots of the following functions, including labeling axis-intercepts and extrema: sin(x), cos(x), tan(x), exp(x), ln(x), x^n, 1/x^n?
Do you understand exponents? Polynomials?
Can you recognize and plot the equation of a line in it's various forms (e.g. y = mx+b, (y-y0)/(x-x0)=m, &c)? Can you identify the axis intercepts given such equations?
Given a quadratic polynomial, ax^2+bx+c, can you find its roots, minimum/maxiumum value and location of that value?
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