Question 5 (a) For each diagram below there are two sets A and B, assign element(s)...

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Question 5 (a) For each diagram below there are two sets A and B, assign element(s) of set A to B using arrows such that: i. the relation is not a function ii. the relation is one-to-one but not onto function iii. the relation is onto but not one-to-one function iv. the relation is a bijective function v. the relation is neither one-to-one nor onto A A B 2 momon 3 C d 4 (iii) b d (i) B 1 40 m/s 2 i 3 4 A d (ii) |x-1| B (ii) Plot a graph of the function (iii) deduce the range of the function from the graph. i. limx→x-1 2x³ 128 ii. limx→4√√x-2 1 4 A d (iv) (d) Compute the following limits, if they exsist: Show your work B 1 3 4 (b) Consider the function given by g(t) = 2t² + 1, −2 ≤ t ≤ 2. Show your work (i) state the domain of the function A a (c) As shown below, a box of bananas has an initial speed of 40 m/s. The box of bananas travels along the frictionless surface, which curves up a hill. What is the maximum height of the box of bananas will reach?. Show your work. C d (v) B 1 3 [5] 4 [3] [6] [6] Question 5 (a) For each diagram below there are two sets A and B, assign element(s) of set A to B using arrows such that: i. the relation is not a function ii. the relation is one-to-one but not onto function iii. the relation is onto but not one-to-one function iv. the relation is a bijective function v. the relation is neither one-to-one nor onto A A B 2 momon 3 C d 4 (iii) b d (i) B 1 40 m/s 2 i 3 4 A d (ii) |x-1| B (ii) Plot a graph of the function (iii) deduce the range of the function from the graph. i. limx→x-1 2x³ 128 ii. limx→4√√x-2 1 4 A d (iv) (d) Compute the following limits, if they exsist: Show your work B 1 3 4 (b) Consider the function given by g(t) = 2t² + 1, −2 ≤ t ≤ 2. Show your work (i) state the domain of the function A a (c) As shown below, a box of bananas has an initial speed of 40 m/s. The box of bananas travels along the frictionless surface, which curves up a hill. What is the maximum height of the box of bananas will reach?. Show your work. C d (v) B 1 3 [5] 4 [3] [6] [6]

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Lets tackle each part of Question 5 one at a time a For each diagram we need to connect elements from set A to set B to fulfill the specified type of relation Here are the appropriate assignments i A ... View the full answer