1. Answer the questions about the following function.

f(x)=10x^2/x^4+25

(a) Is the point 5,1 on the graph of f?

(b) x=1, what is f(x)? What point is on the graph of f?

(c) If f(x)=1, what is x? What point(s) is (are) on the graph of f?

(d) What is the domain of f?

(e) List the x-intercepts, if any, of the graph of f.

(f) List the y-intercept, if there is one, of the graph of f.

1. Determine algebraically whether the given function is even, odd, or neither

h(x)=-9x^3/5x^2-4

1. Find the average rate of change of f(x)=x^2+4.a) from 1 to 3 b) from 0 to 2 c) from 3 to 6
2. Find the function that is finally graphed after the following transformations are applied to the graph of y=sqrt x in the order listed (1) shift up 8 units (2) reflect about the x-axis (3) reflect about the y-axis
3. For the function f(x) =7/x+6, find the average rate of change of f from 1 to x: f(x)-f(1)/x-1, does not equal 1
4. Find the function that is finally graphed after the following transformations are applied to the graph of y=sqrt x in the order listed. (1) reflect about the x-axis (2) shift down 8 units (3)shift left 3 units
5. Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. f(x) =(x+3)^3-6
6. Find the domain of the function. f(x)=sqrt 15-x