Exam 4: Living in a Nonlinear World

Graph the function $f ( x ) = 2 ^ { x }$ . Plot at least three points.

Find the vertex of the parabola.

Multiply the conjugates.

Write the number in scientific notation. A baseball player's annual salary is 8,146,000 dollars.

Find the perimeter.

Factor completely.

Clear parentheses and combine like terms.

a. Determine the y-intercept of this graph and explain what it means. b. Determine the x-intercepts of this graph and explain what they mean. he

Heartbreak Hill is a hill on the Boston Marathon course that comes shortly after the 20-mile mark in the race. Over a horizontal distance of 2744 ft, the elevation changes from 146 ft to 237 ft. a. What is the percentage grade of this hill? Round to the nearest tenth of a percent. b. How far will a runner actually run up this hill? Round to the nearest tenth of a foot.

Solve the equation by using the quadratic formula.

Evaluate the expression by using a calculator.

Multiply the conjugates. $\left( \frac { 11 } { 2 } x + \frac { 2 } { 5 } \right) \left( \frac { 11 } { 2 } x - \frac { 2 } { 5 } \right)$

Multiply the conjugates.

Evaluate the expression by using a calculator. Round to 4 decimal places.

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . $- 4 x ^ { 2 } + x = 3$

Factor completely.

Factor the binomial completely. $5 n ^ { 2 } - 80$

Factor completely.

Add the polynomials.

Simplify the expression. Write the answer in exponent form.