U3 Behavior of Polynomial Functions

Which of the following is a 5th degree trinomial with a leading coefficient of -2? 

• f(x) = -2x⁵+3x-1
• f(x) = 5x^-2+3x-1
• f(x) = -2x⁵+3x⁴+2x³+x²-10
• f(x) = 2x+5

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 5

Using the degree and leading coefficient, match the graph to an equation.

• y=-(x-1)²(x+2)²
• y=(x-1)²(x+2)²
• y=(x-1)(x+2)²
• y=-(x-1)²(x+2)²

Tags

CCSS.HSA.APR.B.3

What is the degree?

• Odd
• Even

the value of f(x) as  x approaches positive and negative infinities

• end behavior
• beginning behavior
• middle behavior
• bad behavior

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Using the degree and leading coefficient, match the function to its graph

• P(x) = -x³+6x²+x+5
• P(x) = x⁵+6x²+x+5
• P(x) = x⁴+6x²+x+5
• P(x) = -x⁴+6x²+x+5

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Using the degree and leading coefficient, identify the end behavior of: y=-2x⁴+3x-1

• x→∞, f(x)→∞
• x→∞, f(x)→-∞
• x→-∞, f(x)→∞
• x→-∞, f(x)→-1

Using the degree and leading coefficient, identify the predicted end behavior of: y=4x⁵+7x?

• x→∞, f(x)→ -∞
• x→-∞, f(x) →∞
• x→∞, f(x) →0
• x→-∞, f(x)→-∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Using the degree and leading coefficient, match the graph to an equation.

• y=(2x-1)(x+2)²
• y=(2x-1)(x+2)³
• y=(-2x-1)(x+2)²
• y=(-2x-1)(x+2)

Tags

CCSS.HSA.APR.B.3