# How do you determine whether the function #f(x)=(2x-1)^2(x-3)^2# is concave up or concave down?

##### 1 Answer

Sep 11, 2015

To determine where the graph of

#### Explanation:

# = 2(2x-1)(x-3)[2(x-3)+(2x-1)]#

# = 2(2x-1)(x-3)(4x-7)#

# + 2(2x-1)(1)(4x-7)#

#+2(2x-1)(x-3)(4)#

# = 48x^2-168x+61#

Set

Test each interval:

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