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Find the range of each function for the given domain.
3. f(x) = -2x + 1; {-6, -2, 0}
4. f(x) = x3 + 1; {-2, -1, 3}
Tell whether the sequence is arithmetic or not. If the sequence is arithmetic, write a function rule to represent it.
5. -19, -11, -3, 5, . . . . . .

6. Write a function rule for the area of a rectangle whose length is 5 in. more than its width. What is the area of the rectangle when its width is 8 in.?

1 Answer

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3. f(-6) = 12+1 =13

f(-2) = 4+1 = 5

f(0) =1

Range {1,5,13}

4. f(-2) = (-2)^3+1 =-7

f(-1) = (-1)^2 +1 =0

f(3) = (3)^3 +1 = 28

Range = {-7,0,28}

5.the sequence is arithmetic

d= -11+19 = 8

an = a1 + d(n-1)

an = -19 +8(n-1)

6.l =w+5

a =l*w

a(w) =(w+5) * w

a(w)= w^2 +5w

f(w) = w^2 +5w

f(8) = 8^2 +5(8)

f(8) = 64 +40

f(8) =104 in^2

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