Finding Turning Points of a Function

Point B is called a ....

• Relative Minimum

• Relative Maximum

• Absolute Minimum

• Absolute Maximum

Point A is called a ....

• Relative Minimum

• Relative Maximum

• Absolute Minimum

• Absolute Maximum

Point C is called a ....

• Relative Minimum

• Relative Maximum

• Absolute Minimum

• Absolute Maximum

When you are trying to find the turning point on a calculator you need to press what after you have graphed the funciton?

• Graph

• Y =

• 2nd Trace

• Trace

How many turning points?

• 1

• 2

• 3

• 4

• Use the CALC menu and select "Maximum" or "Minimum".

• Use the TRACE function and manually locate the turning points.

• Adjust the WINDOW settings until the turning points are visible, then use TRACE.

• The TI-84 cannot determine the exact coordinates of turning points.

What are the coordinates of the turning point for the function f(x) = 3x^2 - 10x + 8?

• (5, 11)

• (4, 10)

• (3, 9)

• (2, 8)

How many total turning points (minimums and maximums) does this function have?

Mathematical Equivalence

ON

What is the turning point of the following function? f\left(x\right)=\sqrt{x-6}+5

• (6, 5)

• (-6, 5)

• (-6, -5)

• (6, -5)

Find the turning points of:

f(x)=x³+3x²-9x+1 (hint dy/dx=0)

• (-3,28) and (1,-4)

• (3,28) and (1,4)

• (1,28) and (-3,-4)

• (3,28) and (-1,-4)