# MATH 140 Practice Questions Exam2

**Find the domain and range.**

**Solve the problem.**

2) If a rocket is propelled upward from ground

level, its height in meters after t seconds is

given by h = -9.8t^2 + 127.4t. During what

interval of time will the rocket be higher than

411.6 m?

**For the pair of functions, perform the indicated
operation.**

3) f(x) = 9x + 9, g(x) = 6x - 1 Find f ยท g.

**Use the two given functions to write y as a function of
x.**

**Find functions f and g so that
**

**Find a formula for the inverse of the function
described
below.**

6) A size-34 dress in Country C is size 5 in

Country D. A function that converts dress

sizes in Country C to those in Country D is

**Find the inverse of the function.**

Find the difference quotient,
for the

function and simplify it.

8) f(x) = 2x - 13

**Graph the function.**

**Find the domain and range.**

**Use transformations to graph the function and state the
domain and range.**

**Find the specified domain.**

12) For f(x) = x^2 - 64 and g(x) = 2x + 3, what is the

domain of f - g?

13) For and what is the domain of

**Find the inverse of the function.**

**Graph the function as a solid curve and its inverse as
a
dashed curve.**

**Find the inverse of the function.**

**Find the maximum or minimum point of the function and
state whether it is a maximum or minimum.**

**Solve the quadratic inequality by graphing an
appropriate quadratic function.**

**Identify the vertex of the parabola.**

**Determine whether the given number is a zero of the
polynomial function.**

**Use the rational zero theorem to find all possible
rational
zeros for the polynomial function.**

**Use synthetic division to find the function value.**

**State the degree of the polynomial equation.**

**Find a polynomial equation with real coefficients that
has
the given roots.**

**Find all real and imaginary solutions to the equation.**

**Find all real solutions to the equation.**

**Discuss the symmetry of the graph of the polynomial
function.**

28) f(x) = 7x

Use the leading coefficient test to determine whether y→

∞ or y→-∞ as x→ -∞.

**Discuss the symmetry of the graph of the polynomial
function.**

**Determine the domain and the equations of the
asymptotes for the graph of the rational function.**

**Sketch the graph of the function.**