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Polynomial Function Calculations

The document defines 5 functions f(x) and evaluates each function for integer values of x from -4 to 5. For each function f(x), a table is given showing the x-value, the corresponding f(x) value. The functions include linear, quadratic, cubic and higher order polynomials.

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Daniela Angeles Gasca
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55 views8 pages

Polynomial Function Calculations

The document defines 5 functions f(x) and evaluates each function for integer values of x from -4 to 5. For each function f(x), a table is given showing the x-value, the corresponding f(x) value. The functions include linear, quadratic, cubic and higher order polynomials.

Uploaded by

Daniela Angeles Gasca
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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A) f(x)=3x+5

f(x)=-3(-4)+5 x f(x)
f(x)=12+5 -4 17
f(x)=17 -3 14
f(x)=-3(-3)+5 -2 11
f(x)=9+5 -1 8
f(x)=14 0 5
f(x)=-3(-2)+5 1 2
f(x)=6+5 2 -1
f(x)=11 3 -4
f(x)=-3(-1)+5 4 -7
f(x)=3+5
f(x)=8
f(x)=-3(0)+5
f(x)=0+5 f(x)
f(x)=5 20
f(x)=-3(1)+5
15
f(x)= -3+5
f(x)=2 10
f(x)=-3(2)+5
f(x)=-6+5 5
f(x)=-1
0
f(x)=-3(3)+5 -5 -4 -3 -2 -1 0 1 2 3 4 5
f(x)=-9+5 -5
f(x)=-4
f(x)=-3(4)+5 -10
f(x)=-12+5
f(x)
f(x)=-7
B) f(x)=-x²-5x+10
f(x)=-(-4)²-5(-4)+10 x f(x)
f(x)=16+20+10 -4 46
f(x)=46 -3 34
-2 24
f(x)=-(-3)²-5(-3)+10 -1 16
f(x)=9+15+10 0 10
f(x)=34 1 4
2 -4
f(x)=-(-2)²-5(-2)+10 3 -14
f(x)=4+10+10 4 -26 f(x)
f(x)=24 50

40
f(x)=-(-1)²-5(-1)+10
f(x)=1+5+10 30

f(x)=16 20

10
f(x)=-(0)²-5(0)+10
0
f(x)=0-0+10 -5 -4 -3 -2 -1 0 1 2 3 4 5
-10
f(x)=10
-20
f(x)=-(1)²-5(1)+10 -30
f(x)=-1-5+10
f(x)
f(x)=4

f(x)=-(2)²-5(2)+10
f(x)=-4-10+10
f(x)=-4

f(x)=-(3)²-5(3)+10
f(x)=-9-15+10
f(x)=-14

f(x)=-(4)²-5(4)+10
f(x)=-16-20+10
f(x)=-26
C) f(x)=-x³-3x²+7x-8
f(x)=-(-4)³-3(-4)²+7(-4)-8 x f(x)
f(x)=64+48-28-8 -4 76
f(x)=76 -3 25
-2 -2
f(x)=-(-3)³-3(-3)²+7(-3)-8 -1 -11
f(x)=27+27-21-8 0 -8
f(x)=25 1 -5
2 -14
f(x)=-(-2)³-3(-2)²+7(-2)-8 3 -41
f(x)=8+12-14-8 4 -20
f(x)=-2

f(x)=-(-1)³-3(-1)²+7(-1)-8
f(x)=1+3-7-8
f(x)
f(x)==11
100

f(x)=-(0)³-3(0)²+7(0)-8 80
f(x)=-8 60

40
f(x)=-(1)³-3(1)²+7(1)-8
20
f(x)=-1-3+7-8
f(x)=-5 0
-5 -4 -3 -2 -1 0 1 2 3 4 5
-20
f(x)=-(2)³-3(2)²+7(2)-8 -40
f(x)=-8-12+14-8
-60
f(x)=-14
f(x)
f(x)=-(3)³-3(3)²+7(3)-8
f(x)=-27-27+21-8
f(x)=-41

f(x)=-(4)³-3(4)²+7(4)-8
f(x)=-64-48+28-8
f(x)=-20
4 5
D) f(x)=-2x³+6x²-3x+5
f(x)=-2(-4)³+6(-4)²-3(-4)+5
f(x)=128-96+12+5 x f(x)
f(x)=237 -4 237
-3 122
f(x)=-2(-3)³+6(-3)²-3(-3)+5 -2 51
f(x)=54+54+9+5 -1 16
f(x)=122 0 5
1 6
f(x)=-2(-2)³+6(-2)²-3(-2)+5 2 7
f(x)=16+24+6+5 3 -4
f(x)=51 4 -15

f(x)=-2(-1)³+6(-1)²-3(-1)+5
f(x)=2+6+3+5
f(x)=16
f(x)
300
f(x)=-2(0)³+6(0)²-3(0)+5
f(x)=0+0+0+5 250
f(x)=5
200

f(x)=-2(1)³+6(1)²-3(1)+5 150
f(x)=-2+6-3+5 100
f(x)=6
50

f(x)=-2(2)³+6(2)²-3(2)+5 0
-5 -4 -3 -2 -1 0 1 2 3 4 5
f(x)=-16+24-6+5
-50
f(x)=7
f(x)
f(x)=-2(3)³+6(3)²-3(3)+5
f(x)=-54+54-9+5
f(x)=-4

f(x)=-2(4)³+6(4)²-3(4)+5
f(x)=-128+96-12+5
f(x)=-15
4 5
E) f(x)=-6x⁵+2x⁴-2x³+4x²-7
f(x)=-6(-4)⁵+2(-4)⁴-2(-4)³+4(-4)²-7 x f(x)
f(x)=6144+512-128+64-7 -4 6847
f(x)=6841 -3 1703
-2 317
f(x)=-6(-3)⁵+2(-3)⁴-2(-3)³+4(-3)²-7 -1 7
f(x)=1458+162+54+36-7 0 -7
f(x)=1703 1 -9
2 -167
f(x)=-6(-2)⁵+2(-2)⁴-2(-2)³+4(-2)²-7 3 -1321
f(x)=192+80+16+36-7 4 -5703
f(x)=317

f(x)=-6(-1)⁵+2(-1)⁴-2(-1)³+4(-1)²-7 f(x)
f(x)=6+2+2+4-7 8000
f(x)=7 6000

4000
f(x)=-6(0)⁵+2(0)⁴-2(0)³+4(0)²-7
f(x)= -7 2000

0
-5 -4 -3 -2 -1 0 1 2 3 4 5
f(x)=-6(1)⁵+2(1)⁴-2(1)³+4(1)²-7 -2000
f(x)=-6+2-2+4-7
-4000
f(x)=-9
-6000

f(x)=-6(2)⁵+2(2)⁴-2(2)³+4(2)²-7 -8000
f(x)=-192+32-16-7
f(x)
f(x)=-167

f(x)=-6(3)⁵+2(3)⁴-2(3)³+4(3)²-7
f(x)=-1458+162-54+36-7
f(x)=-1321

f(x)=-6(4)⁵+2(4)⁴-2(4)³+4(4)²-7
f(x)=-6144+512-128+64-7
f(x)=-5703
2 3 4 5

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