For this graph mark the statements that are true
1 answer:
For the graph in the figure
we know that
the function is a quadratic equation ( vertical parabola) open up
so
The vertex is a minimum
the vertex is the point
The domain x of the function is all real numbers-------> (-∞,∞)
The range is the interval--------> [0,∞)
therefore
Statements
A) The range is the set of all real numbers
Is false
B) The domain is the set of all real numbers
Is true
C) The domain is the set of all real numbers greater than or equal to zero
Is false
D) The range is the set of all real numbers greater than or equal to zero
Is true
You might be interested in
The cost of pen and pencils are related to the number that can be bought
with a given amount of money.
- <u />
<u />
Reasons:
The given parameters are;
If the number number of pens and pencils James buys = 3 pens and 2 pencils, the amount James will have left = $2
If the number of pens and pencils James buys = 2 pens and 3 pencils, the amount James will have left = $6
The amount of money Judith has = The amount of money with James
The number of pens and pencil James and Judith can buy = 6 pens and 6 pencils
The cost of one pen = a
The cost of one pencil = b
Required:
To find the ordered pair (a, b)
Solution:
Let <em>X</em> represent the initial amount of money James has, we get;
X - (3·a + 2·b) = 2...(1)
X - (2·a + 3·b) = 6...(2)
2·X = 6·a + 6·b...(3)
Therefore;
X = (6·a + 6·b) ÷ 2 = 3·a + 3·b
Which from equation (1) gives;
3·a + 3·b - (3·a + 2·b) = 2
3·a + 3·b - 3·a - 2·b = 2
3·b - 2·b = 2
b = 2
Subtracting equation (1) from equation (2) gives;
(X - (2·a + 3·b)) - (X - (3·a + 2·b)) = 6 - 2 = 4
-2·a - 3·b + 3·a + 2·b = 4
a - b = 4
a = 4 + b
∴ a = 4 + 2 = 6
a = 6
<u />
<u />
<u />
Learn more about word problems and simultaneous equations here: