You MUST show ALL of your work.  1) Prove the following properties for even and odd functions.  Part A: (Even)(Even)=Even Part B: (Odd)(Odd)=Even Part C: (Even)(Odd)=Odd Part D: (Odd)±(Odd)=Odd Part E: (Even)±(Even)=Even

Q: I. Analyzing Functions Use the figure at the right to answer the problems below: 1. Use interval…

A: Using the given graph, we can determine all the required characteristics of function.

Q: a. The population P() of a culture of bacteria is given by P(t) = 5000(2)4, where t is the time in…

A: Given P(t)=5000(2)t4 Basic function with base e is y=a(e)x Lets pick up some points from the given…

Q: The profit P, in millions of dollars, that a manufacturer makes is a function of the number N, in…

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Q: (x+ 1)(x-4) (x+ 1)(x+ 5) The function is not defined when x =

A: Given that  Function = (x+1)(x-4)(x+1)(x+5)   We know that  01 =0    ;     10 =Undefined    ;…

Q: The graph below represents which type of power function of the form y = kx"?

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Q: A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases…

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Q: 6. Function is given below. Find the inverse of the function. A. (x)=√x-4+4 B. S'(x)=(√x+4-4) C.…

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Q: Use the graph of the function f shown to the right to find f(-2), f(-1), and f(0). (...) f(-2)= A) Ⓒ

A: Given: A graph is given.We need to find(i) f(-2) = ?(ii) f (-1)=?(iii) f(0) = ?

Q: What does this show for an increasing or decreasing function, f? O A. If x2 is not equal to x1, then…

A: We know that increasing and decreasing both functions are one-one

Q: 2 int () if –10<x<0 g(x)= -5 if x = 0 -0.5x +4x if 0<x<10

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Q: 2. Given that f(x) = 6 1-a find and simplify f 2²4) Show all of your work clearly.

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Q: 2-V +3 2. For the function R(t)%3D answer each of the folowing questions. 1+1 (a) Evaluate the…

A: From the given problem:   Rt=2-t2+3t+1   (a)    i) t=-0.5…

Q: Which of the following functions is one-to-one? Select one: O f(x) = (x+3)², x<3 O f(x)= (x+3), x<-1…

A: We have to check

Q: 8 Evaluate the following question for f(-2): f(x) 3x + 2

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Q: For what intervals is the functionf(x) = concave up? %3D O The graph is concave up for the interval…

A: Given function is f(x)=1x Have to find out the interval for concave up