Solve this equation algebraically. Verify your solution using a graphing utility.

p =

Enter a number.

1

A hot-air balloon, headed due east at an average speed of v = 17 miles per hour and at a constant altitude of h = 90 feet, passes over an intersection (see the figure). Find an expression for its distance d (measured in feet) from the intersection t seconds later.

d =

Enter a mathematical expression.

1

Determine whether this relation represents a function. For each function, state the domain and range.

{(3,7), (-3,7), (4,9), (3,10)}

Is this a function?
Domain
Range

You are given this polynomial function.

f(x) = 7(x - 9)(x + 3)²

(a) List each real zero and its multiplicity.

Enter a number.

1, multiplicity

Enter a number.

2 (smaller zero value)

Enter a number.

3, multiplicity

Enter a number.

4 (larger zero value)

(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.
The graph 5 ---Select--- crosses touches at the smaller value.
The graph 6 ---Select--- crosses touches at the larger value.

(c) Find the power function that the graph of f resembles for large values of |x|.
y =

Enter a mathematical expression.

7

For the given functions f and g, find each of the following composite functions.

(a) fg

Enter a mathematical expression.

1
(b) gf

Enter a mathematical expression.

2
(c) ff

Enter a mathematical expression.

3
(d) gg

Enter a mathematical expression.

4