Question

function table
complete the function table. plot the points and graph the line.

1. $f(x) = -x - 7$

$x$	-7	-5	-3	-2	0
$f(x)$

1. $f(x) = 5 + x$

$x$	-3	-1	3	5	7
$f(x)$

1. $f(x) = 4x - 6$

$x$	0	1	2	3	4
$f(x)$

1. $f(x) = x + 4$

$x$	-20	-16	-8	0	4
$f(x)$

1. $f(x) = 2 - 2x$

$x$	0	2	4	6	8
$f(x)$

1. $f(x) = -2x + 3$

$x$	-2	-1	0	1	3
$f(x)$

1. $f(x) = -2 + 2x$

$x$	-4	0	3	4	6
$f(x)$

1. $f(x) = 6x$

$x$	-8	-6	-5	0	1
$f(x)$

1. $f(x) = 3x - 6$

$x$	-5	-4	-3	-2	-1
$f(x)$

(graphs are provided for each function to plot points and graph the line.)
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Explanation:

Step1: Calculate $f(x)=x+4$ values

For $x=-20$: $f(-20)=-20+4=-16$
For $x=-16$: $f(-16)=-16+4=-12$
For $x=-8$: $f(-8)=-8+4=-4$
For $x=0$: $f(0)=0+4=4$
For $x=4$: $f(4)=4+4=8$

Step2: Calculate $f(x)=2-2x$ values

For $x=0$: $f(0)=2-2(0)=2$
For $x=2$: $f(2)=2-2(2)=-2$
For $x=4$: $f(4)=2-2(4)=-6$
For $x=6$: $f(6)=2-2(6)=-10$
For $x=8$: $f(8)=2-2(8)=-14$

Step3: Calculate $f(x)=-2x+3$ values

For $x=-2$: $f(-2)=-2(-2)+3=7$
For $x=-1$: $f(-1)=-2(-1)+3=5$
For $x=0$: $f(0)=-2(0)+3=3$
For $x=1$: $f(1)=-2(1)+3=1$
For $x=3$: $f(3)=-2(3)+3=-3$

Step4: Calculate $f(x)=-2+2x$ values

For $x=-4$: $f(-4)=-2+2(-4)=-10$
For $x=0$: $f(0)=-2+2(0)=-2$
For $x=3$: $f(3)=-2+2(3)=4$
For $x=4$: $f(4)=-2+2(4)=6$
For $x=6$: $f(6)=-2+2(6)=10$

Step5: Calculate $f(x)=6x$ values

For $x=-8$: $f(-8)=6(-8)=-48$
For $x=-6$: $f(-6)=6(-6)=-36$
For $x=-5$: $f(-5)=6(-5)=-30$
For $x=0$: $f(0)=6(0)=0$
For $x=1$: $f(1)=6(1)=6$

Step6: Calculate $f(x)=3x-6$ values

For $x=-5$: $f(-5)=3(-5)-6=-21$
For $x=-4$: $f(-4)=3(-4)-6=-18$
For $x=-3$: $f(-3)=3(-3)-6=-15$
For $x=-2$: $f(-2)=3(-2)-6=-12$
For $x=-1$: $f(-1)=3(-1)-6=-9$

Answer:

4) $f(x)=x+4$

$x$	-20	-16	-8	0	4

(Plot points $(-20,-16), (-16,-12), (-8,-4), (0,4), (4,8)$ and draw a straight line through them)

5) $f(x)=2-2x$

$x$	0	2	4	6	8

(Plot points $(0,2), (2,-2), (4,-6), (6,-10), (8,-14)$ and draw a straight line through them)

6) $f(x)=-2x+3$

$x$	-2	-1	0	1	3

(Plot points $(-2,7), (-1,5), (0,3), (1,1), (3,-3)$ and draw a straight line through them)

7) $f(x)=-2+2x$

$x$	-4	0	3	4	6

(Plot points $(-4,-10), (0,-2), (3,4), (4,6), (6,10)$ and draw a straight line through them)

8) $f(x)=6x$

$x$	-8	-6	-5	0	1

(Plot points $(-8,-48), (-6,-36), (-5,-30), (0,0), (1,6)$ and draw a straight line through them)

9) $f(x)=3x-6$

$x$	-5	-4	-3	-2	-1

(Plot points $(-5,-21), (-4,-18), (-3,-15), (-2,-12), (-1,-9)$ and draw a straight line through them)