4.1-4.3 Test

What is the degree of the polynomial?
  9x⁵ - x⁴ + 2x

• 9
• 5
• 4
• 2

What is the leading coefficient of the polynomial?
  9x⁵ + 2x⁴ - x³ + 9x² - 2

• 5
• 9
• 2
• 4

What degree does the function have?
 f(x) = 8x⁵ - 9x⁴ + 7x²

• odd
• even

What kind of leading coefficient does the function have?
  f(x) = -x³ + 7x

• positive
• negative

• Yes; There is only one variable.

• No; The Degree is too high

• No; There is a variable in the denominator

• -8

• -21

• -12

• 7

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x³ - x + 5

• Left up    Right up
• Left up   Right down
• Left down   Right up
• Left down   Right down

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x² + 3x 

• Left up    Right up
• Left up   Right down
• Left down  Right up
• Left down   Right down

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -x⁵ - 4x +2

• Left up  Right up
• Left up  Right down
• Left down  Right up
• Left down  Right down