Given the function g(x) = -3×2 – 6x + 5 . a.  Find the vertex algebraically.  Show your work.   b. State the axis of symmetry equation:________   c. Give the y-intercept:__________ d. Find the x-intercepts:   e. Give a complete graph on the grid above.   f.  Give the interval(s) on which g(x) is    increasing:                       decreasing:   g. For what x-values is g(x) < 0?

Given c(x) = 3 – 7x  and  d(x) = 4×2 – x + 5 a.  Find (c – d)(x).   b.  Find (cd)(x).

1a.  Give the domain and range of the graph of d(x) above.           domain:__________   range:_____________   b.  List the transformations in words needed to get from the graph of d(x) to the graph of h(x) = – d(x – 3) + 4. c.  Graph h(x) on the same grid if h(x) = – d(x – 3) + 4 *Remember to write your solutions ON your answer pages.  Do NOT write anything in the answer space here.

A polynomial function p(x) of degree 5 with rational coefficients has  the following as zeros.  What other zeros must the function have? has zeros: -7, 4-i, 13{“version”:”1.1″,”math”:”-7, 4-i, 13″}

Given the function h(x) = – x3 + 13×2 – 19x – 58. a.  Draw a complete graph of h(x).  Make sure to label your gridlines.   b.  Give the y-intercept of h(x):________   c.  Give the coordinates of any   relative maximum values:__________________   d.  Give the coordinates of any   relative minimum values:__________________   e.  Give all real zeros:_____________________   f.  Give the intervals on which h(x) is     increasing:                             decreasing:

Which is NOT true concerning the exponential growth of the human population?

What is not true concerning global disease burden?

Which is not true of emergent diseases?

Abiotic factors are caused by living organisms and tend to be density dependent

Exponential population growth is at a constant rate of increase per unit time (geometric).