Let A- (Blanche, Rose, Sophia, Dorothy), B-(Red, Blue, Yellow) and consider the function f: A B defined as follows: f(x) Blanche Red Rose Blue Sophia Yellow Dorothy Blue 1. Is the functionf injective? Justify your answer. 2. Is the function f surjective? Justify your answer. 3. Is the function f bijective? Justify your answer.

Q: Let f (x) + 4. Evaluate f (-8). 2 (2 f(-8) = Number

A:

Q: 1. Is the following relation a function? If not, explain why. 2. Is the following relation a fur…

A: 1) From the given table, The element 0 in the domain set has two images 1 and 2 in the range set.…

Q: Evaluate the function for the indicated va Evaluate f (-12). {7 x 4 Select one: O a. 7 O b. -12 O…

A: See range of x and solve

Q: The fuel tank of an airplane can hold 300 gallons of fuel. Let w be the total weight of the airplane…

A: Maximum fuel that airplane can hold is 300 gallons and  Minimum fuel that airplane can carry is 0…

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Use the vertical line test to determine if y is a function of x in the graph. Q

A: To use the vertical line test to determine y is a function of x. Given graph is:

Q: Let f be a function. If f (a) = f (6), then a = b. O True O False

A: We have to check is true or not

Q: Let f (x) = + 6 . Evaluate f(-6). 2 (2 f(-6) = Number || 1/2

A: Given f(x)=-1212x+6   To Evaluate f(-6)=

Q: The relation,R={(2,1),(1,3),(3,2),(1,0)}, be definedR:{0,1,2,3}→{0,1,2,3}:(a) FindR−1, the inverse…

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Q: Let A {a, b, c, d, e} and B = {1, 2, 3}. a. Find the number of 1-1 functions from A to A b. Find the…

A:

Q: Brenton's weekly pay, P(h), in dollars, is a function of the number of hours he works, h. He gets…

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Q: Use the vertical line test to determine if the relation shown in the graph below is a function. Yes,…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.