Functions (general)

Pick all statements that apply to this polynomial.

• It is an odd degree function.

• It is an even degree function.

• It has a positive leading coefficient.

• It has a negative leading coefficient.

• It has 3 real roots.

 Which graph represents    $f\left(x\right)\ =\ -3x\left(x-1\right)^2\left(x+3\right)^3$ ?

• 
• 
• 
• 

What are the zeros and y-intercepts of the function graphed above?

• x-intercepts = 1,4

  y-intercept = 0

• x-intercepts = 0, 1, 4

  y-intercept = 0

• x-intercepts = 1,4

  y-intercept = 6

• x-intercepts = 0, 1, 4

  y-intercept = 6

What is the end behavior of the graph

• as x approaches negative infinity y approaches positive infinity

• as x approaches positive infinity y approaches negative infinity

Even Multiplicities have which of the following effects on the x-axis?

• Cross the x-axis

• touches and bounces back

Determine the end behavior of the polynomial function.

• Up left, up right

• Down left, down right

• Up left, down right

• Down left, up right

Which equation MOST LIKELY matches the graph?

HINT: Write factored equation and multiply!

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

What is the leading coefficient and is it even or odd?

• Negative/Odd

• Negative/Even

• Positive/Odd

• Positive/Positive/Odd

There is always a zero on a polynomial if...

• Points to the left and right are both positive

• Points to the left and right are both negative

• One point either to the left or right is zero

• The x-value is zero

• Points to the left and right have opposite signs

Where is the function decreasing?

• x≤0

• x≥0

• x≤1

• x≥1