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QOTD # 4 The function f is defined by [#permalink]
13 Sep 2016, 01:55

Expert's post

00:00

Question Stats:

72% (00:41) correct
27% (01:28) wrong based on 43 sessions

The function f is defined by \(f(\frac{x + 3}{2}) = 3x^2 - x + 5\) for all x

Quantity A

Quantity B

f(4)

75

A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

Re: QOTD # 4 The function f is defined by [#permalink]
17 Sep 2016, 07:47

2

This post received KUDOS

Expert's post

Carcass wrote:

The function f is defined by \(f(\frac{x + 3}{2}) = 3x^2 - x + 5\) for all x

Quantity A

Quantity B

f(4)

75

A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

Practice Questions Question: 4 Page: 203

We're told that f[(x+3)/2] = 3x² - x + 5

Quantity A tells us to INPUT a value of 4

So, we can conclude that (x+3)/2 = 4 When we solve this equation, we get x = 5 In other words, f(4) = f[(5+3)/2] = 3(5²) - 5 + 5 = 75 - 5 + 5 = 75