Question 1 - Find the Domain and Range of the following functions:

(a)  (b) 

(a) , So zeros are x = -½ and x = 2, y-intercept is -2

Sketch looks like: Domain:  Range: y > 0 and 

(b) 

Domain:  Range: 

Question 2. The cost of manufacturing n goods is a piecewise function:
cost is equal to $600 for number of goods below 100 and an addtional
$5 for number goods equal to and greater than 100 up to 1000.

(a) Sketch the function for cost of manufacturing per number of goods and

(b) give the cost for manufacturing 800 goods.

(b) C= 600 + 5(800-100) = 600 + 5(700) = $ 4100

Question 3. Graph the function ln(x-1) and label all asymptotes and intercepts
(points where the graph crosses the y and x axes. (b) State the Domain and Range (use the graph as help).

(a) function as a vertical asymptote at x = 1 and a point on the x-axis at (2, 0)

(b) Domain (x-values): x > 1, and Range (y-values) y is all real numbers

Question 4. Graph the function log(x+ 5) and label all asymptotes and intercepts
(points where the graph crosses the y and x axes. (b) State the Domain and Range (use the graph as help).

(a) function as a vertical asymptote at x = -5 and a point on the x-axis at (-4, 0)

And the y-axis at (0, 0.69)

(b) Domain (x-values): x > -5, and Range (y-values) y is all real numbers