Precalculus Characteristics of Polynomial Functions

Considering the leading term of

y = -3x³ + 5x² + 1

What is the end behavior?

• Left side goes up/Right side goes up

• Left side goes down/Right side goes up

• Left side goes down/Right side goes down

• Left side goes up/Right side goes down

How many possible solutions?

-3x - 2 - 2x⁴ + 12x³

• 0

• 1

• 3

• 4

What is the maximum number of roots for
 
 8x⁷ - 6x⁵ + 4x³ + 2x + 1 = 0

• 4
• 6
• 7
• 16

What is the domain of the function?

• All Real Numbers
• -3 ≤ x ≤ 1
• y ≥ 4
• y ≤ 4

What is the range of this function?

• -4 ≤ y ≤ 5
• -1 ≤ x ≤ 3
• All Real Numbers
• y ≥ -4

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

What is the degree?

• Positive
• Negative
• Odd
• Even

Select the best answer for:
The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

What is the interval of decrease?

• (negative infinity, -2)
• (-2, infinity)
• (2, infinity)
• (negative infinity, 2)

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both