Algebra 2 Benchmark

Michael Miller, Sam Beccaria,Jacob Listerud, Robert Yemola

Our Equations

ﾠ

y = (x^3 - 10x^2 + 5x)

ﾠ

y = (x^3 - 4x)

Part AScientists discovered a new strain of bacteria. They found that the bacteria multiplies by an exponent of 3. They are testing an antibiotic on the bacteria that kills it by 10 times the original number of bacteria squared. But every time they add

the antibiotic, five times the original number of bacteria will become resistant

and thrive.

Graph for Problem

Part B

ﾠ

y = (x^3 - 4x)

Domain and Range

Domain- (-2, 0) and (2, 10)

Range- (0, 1.755) and (0, 30.983)

Y and X Intercept

The line never crosses the X or Y Axis.

Dependent / Independent Variable

In this Equation the Y is the Dependent Variable and the X is

the Independent Variable

Table of Values

17.74827

13.85646

10.2475

6.92824

3.8733

02

Undefined1

00

1.721-1

1.6202-1.5

0-2

YX

Equation Graphed

Next Equation

ﾠ

y = (x^3 - 10x^2 + 5x)

Domain and Range

Domain - (0, .525716) and (9.472, 20)

Range - (0, .8) and (0, 64.031)

Y and X intercepts

The Line will never cross the X or Y Axis

Dependent and Independent Variables

In this Equation the Y is the Dependent Variable and the X is the Independent Variable

Table of Values

7.0711101.54119.51.23269.49.81699.48Undefined1 - 9.47.3536.5.6812.4.7918.3.7797.2.6332.1

YX

Equation Factored✏ X(x^2-10x+5)

X 9.472X x^2 9.472x.528 .528x 5(approx.)

✏ (x-9.472)(x+.528)

Equation Graphed