Modules 6,7,8,10,11

Linear Functions

100

What is the y-intercept:

y=1/2x + 2

(0,2)

200

What is the slope of a line that has an x-intercept of 3 and a y-intercept of 4

y= -4/3 

300

What is the standard form of a linear function?

Ax+By=C

400

Solve the following system: 

x+y=-2

2x-2y=8

(1,-3)

500

when m > 0, increasing the value of m results in an increasing function that increases faster. What effect does increasing m have on the graph of a function

It makes the line steeper

Building Linear Functions

100

What is the general explicit rule for a arithmetic function?

f(n)= f(1) + d(n-1)

200

Given f(x)= 4 and g(x) = -3x+2, find the linear function h(x) = f(x) x g(x)

h(x) =  -12x+8

300

The inverse of f(x) = 2x+6, denoted by f^-1(x)

f^-1(x) = (x-6)/2

400

Is 26 + 2y>14x shaded above or below the line?

above

500

The explicit rule for an arithmetic sequence is f(n) = 6+5(n-1). What are the first 3 terms?

6,11,16

Modeling Linear Functions

200

Write the equation for the following data:

History| 90,70,75,100,90,85,80,90

Science| 80,75,72,95,92,82,80,92

y=0.77x +18.11

300

Find the slope and y-intercept of the following points:

(20,34) & (50,40)

slope = 6/30

y-intercept = 30

Exponential Functions

100

Create a function that represents a salary after m months that has an initial salary of 1200 per month and a monthly raise of 75%

y= 1.75m + 1200

200

If f(x) = -5x+4 and g(x) = 2x-1, what is f(x) - g(x) = h(x)

-7x+5