1) Draw the graph of the following relation and state the domain and range. x>2 x=2 f(x) = { Domain: Range: a) Determine

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1 Draw The Graph Of The Following Relation And State The Domain And Range X 2 X 2 F X Domain Range A Determine 1 (58.46 KiB) Viewed 51 times

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1) Draw the graph of the following relation and state the domain and range. x>2 x=2 f(x) = { Domain: Range: a) Determine: b) c) 4, 3, x-1, ((x+3)² - 4, D g) h) lim f(x) = lim f(x)= lim f(x)= f) lim f(x) = limf(x) = X-2 lim f(x)= x--3- For what value(s) of x is f(x) discontinuous? Determine: f(-1) i) Determine the slope of the graph at x-0. -3<x<2 x≤-3
2) Sketch the graph of the function that satisfies all of the following conditions. a) f(1) = -3 b) lim f(x)=2 341 c) lim f(x)=-1 SE 3) Given the following function, f(x) = { a) (2x-1, x>1 Sketch the graph of f(x). xsl b) Evaluate one-sided limits to determine if lim f(x) exists. c) Determine and verify if the function is continuous at x = 1. 6 m
APPLICATION: (16 marks) 4) Evaluate the limit, if it exists. 155 c) lim- (x-3)² 53-√9-x lim- Ⓡ r²+3x²-4x-12 x4-2 x2+x-2 b) lim d) lim 2-√1-x x+3
5) Using First Principles, determine the equation of the tangent line to the curve f(x) = 2x³ at the point where x = 1.
THINKING/INQUIRY/PROBLEM SOLVING: (6 marks) 6) Evaluate the limit, if it exists. (x+6) ²³-2 x-2 a) lim X-2 b) lim x²-2x-3 Ix-31
COMMUNICATION: (4+2 Form = 6 marks) 7) Consider the graph of the function given. -3 4 19 5 2 a) Determine all value(s) of "a" for which lim f(x) does not exist. Explain. Z4 b) At what value(s) is f(x) discontinuous? Explain.