The half-life of carbon-14 is 5730 yr.  Find:  a) the decay rate of carbon-14.    b) if 20 g of carbon-14 is present now, how much will be left in 250 years? 

Use the graph of  to graph the function on your submission paper. Write the domain and range in interval notation.  Write the equation of any asymptote. 

Solve the equation.  Write the solution set with exact value answer(s). 

Determine whether the two functions are inverses. 

Graph the function on your submission paper. State the domain and range.  h(x) = – (x – 3)2 + 6

Identify the vertex, axis of symmetry, and intercepts for the graph of the function. y = -x2 – 2x + 8

Find all intercepts for  

The graphs of f and g are shown. Find the values for the given values of x, if possible.a. ( f + g)(-2);               b. (1);                c. (g ∘ f )(3)

Using the graph above, state:  a) Domain of the graph b) Range of the graph c) List any relative maximums or minimums of the function.  d) State the intervals in which the function is increasing, decreasing or constant. 

Use the graph of y = 5x to graph the function f (x) = 5x – 5 on your submission paper. Also, state the domain and range in interval notation.