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Algebra 1a
Unit 7 Quiz 2
Create a function table to sketch the graph of each line.


y=-2x+3

y
Evaluate each function for the given value.

f(x)=3x; find 
f(3)

Algebra 11a\newlineUnit 77 Quiz 22\newlineCreate a function table to sketch the graph of each line.\newline11) y=2x+3 y=-2 x+3 \newline22) y y \newlineEvaluate each function for the given value.\newline33) f(x)=3x f(x)=3 x ; find f(3) f(3) \newline44)

Full solution

Q. Algebra 11a\newlineUnit 77 Quiz 22\newlineCreate a function table to sketch the graph of each line.\newline11) y=2x+3 y=-2 x+3 \newline22) y y \newlineEvaluate each function for the given value.\newline33) f(x)=3x f(x)=3 x ; find f(3) f(3) \newline44)
  1. Create Function Table: question_prompt: Create a function table for the line y=2x+3y=-2x+3 and find the value of f(3)f(3) for the function f(x)=3xf(x)=3x.
  2. Calculate y values: For the function table of y=2x+3y=-2x+3, choose values for xx and calculate corresponding yy values. Let's pick xx values of 1-1, 00, 11, 22.
  3. Calculate f(3)f(3): Calculate yy when x=1x=-1: y=2(1)+3=2+3=5y=-2(-1)+3 = 2+3 = 5.
  4. Calculate f(3)f(3): Calculate yy when x=1x=-1: y=2(1)+3=2+3=5y=-2(-1)+3 = 2+3 = 5. Calculate yy when x=0x=0: y=2(0)+3=0+3=3y=-2(0)+3 = 0+3 = 3.
  5. Calculate f(3)f(3): Calculate yy when x=1x=-1: y=2(1)+3=2+3=5y=-2(-1)+3 = 2+3 = 5. Calculate yy when x=0x=0: y=2(0)+3=0+3=3y=-2(0)+3 = 0+3 = 3. Calculate yy when x=1x=1: y=2(1)+3=2+3=1y=-2(1)+3 = -2+3 = 1.
  6. Calculate f(3)f(3): Calculate yy when x=1x=-1: y=2(1)+3=2+3=5y=-2(-1)+3 = 2+3 = 5. Calculate yy when x=0x=0: y=2(0)+3=0+3=3y=-2(0)+3 = 0+3 = 3. Calculate yy when x=1x=1: y=2(1)+3=2+3=1y=-2(1)+3 = -2+3 = 1. Calculate yy when yy11: yy22.
  7. Calculate f(3)f(3): Calculate yy when x=1x=-1: y=2(1)+3=2+3=5y=-2(-1)+3 = 2+3 = 5. Calculate yy when x=0x=0: y=2(0)+3=0+3=3y=-2(0)+3 = 0+3 = 3. Calculate yy when x=1x=1: y=2(1)+3=2+3=1y=-2(1)+3 = -2+3 = 1. Calculate yy when yy11: yy22. Now, let's find f(3)f(3) for yy44. Calculate f(3)f(3): yy66.

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