Graphs/Logarithms

Graphs

100

What is the domain of a graph?

It is the values of the graph from where they are plotted on the Cartesian Plane moving left to right.

They are the x values.

200

Define range, in terms of the Cartesian plane.

Range are the functions range of the graph moving up or down.  They are the y values.

300

State 3 rules about a linear function.

1.  f(x) = mx + b

2. Variable is raised to the first power

3. Rate of change is constant

4. Graph is composed of a line.

400

What are the co-ordinate pair on the origin of the Cartesian plane?

(0, 0)

500

True or False

The following function when graphed is quadratic?

y=3^x

False,

y=3^x  is neither linear or quadratic

Logs

100

Simplify log(100)

log(100) = 2

200

Simplify log (10000)

=4

300

log_b (216) = x

x = 3

400

log₄(1024) = x

x = 5

500

log₆ (10077696) = x

x = 9

Functions

100

Solve this quadratic function: 

x2 + 3x - 10 = 

x = -5

x = 2

200

y = 3x + 2

Remember to find the x intercept let y = 0

x = -2/3

300

Which of the following is a quadratic function?

   f (x) = 3x²

f(x)= 2x³ - 2x 

f(x) = 3x²

400

What is the quadratic equation?

y = ax² + bx + c

500

What is the equation for slope?

rise/run

or technically

y² - y¹/ x² - x¹

Parabola

100

True or False 

this function, when graphed is a parabola?

f(x) = 3x²

True

200

True or False

Parabola?

y = 2x² - x +1 

True

300

Parabola?

y = 3x + 2

False

400

Parabola?

y = 3x² - 0

Parabola!

500

Parabola?

y = ax² + bx + c

This quadratic function is a parabola.

Whenever the function looks like

y = ax² + bx + c

when graphed is a parabola

Factoring Polynomials

100

x² - 2x -15

(x - 5)(x + 3)

200

x² - 64

(x - 8) (x + 8)

300

x² + 10x + 25

(x + 5) (x + 5)

400

4x² - 32x + 60

4(x - 5)(x - 3)

500

x² - 8x + 8

cannot factor