Show:
Linear Equations
Functions
Domain/Range
Max/Min
Piece-wise Functions
100

y - y1 = m(x - x1)

What is point-slope form?

100

The method used to show a graph is/is not a function.

What is the Vertical Line Test?

100

The domain of f(x) = x2 + 3x - 2

All real numbers
100

The interval on which y = -3x + 5 is decreasing.

What is (-infinity, infinity)?

All real numbers

100

Write f(x) = |x| as a piecewise function.

f(x) = {x, if x >= 0

          {-x, if x < 0

200

The slope of the line through the points (-2,5) and (2,-15).

-5

200

If f(x) = |4x - 3| + 1, then f(-1) = ?

f(-1) = 8

200

What is the domain of the function defined by:

{(-1,2), (0, 10), (hat, orange), (170, narwhal)}?

The domain is {-1, 0, hat, 170}.

200

At what x-value does the function have a relative minimum?

x = -0.362

200

Which is the graph of the piecewise function?

A

300

Write slope-intercept form of the line through (-1,10) with a slope of 3.

y = 3x + 13

300
A company produces a toy for which the variable cost is $12.30 per toy, and the fixed costs are $98,000. The toy sells for $17.98. Write an equation for the profit P as a function of the number of units sold.

P = 5.68x - 98000

300

The domain and range of... 

Domain: [-1,2]

Range: [-1,1]

300

What are the relative maximum and minimum values of f?

Max: y = 0.298

Min: y = -0.651, -2.029

300

Graph the function.

See slides

400

The slope-intercept form of the line that is perpendicular to y = 3x + 5 that passes through the point (-3,3).

y = -x/3 + 2

400

Which function represents y as a function of x?

a) 16x - y4 = 0

b) 2x - y - 3 = 0

b
400

The domain of y = sqrt(1 - x^2).

What is [-1,1] ?

400

On what intervals is the function increasing?

(-infinity, -1.543) and (-0.362, 1.343)

400

Graph the function.

See slides