A few days ago
Anonymous

# Need help with Algebra …..please?

Give the domain and range of each relation below.

1) y <= -4(x - 2)^2 + 5 2) y > -2(x + 4)^2 + 3

A few days ago
Marley K

Since domain is everything that x can be, in both of these problems the domain is All Real Numbers.

The range takes some analyzing:

Because of the negative coefficient in front of the squared terms, these expressions can also be negative. Check it out: If x is a large number (positive or negative), square what’s in the ()s (now it’s always positive), multiply it by a negative. Now, when you add the 3 or the 5, you still have a large negative number.

Can you see what is the largest y can be? There’s no way that the x term can get positive since it is multiplied by that negative. So, the largest is zero. THEREFORE, the range for the first problem is y<= 5, and the range for the second problem is All Real Numbers, because y > anything from negative infinity to 3.

Hope you get it!

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A few days ago
Paul
1) domain: all integers

range: (-infinity,5)

2) domain: all integers

range: (-infinity,3)

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A few days ago
13
Dawg, the ^2 confuses me.

I don’t understand if ^2 is square root or squared.