Graping Functions by Plotting Points

; *x* = -3, -2, -1, 0, 1, 2, 3

I'm going to use a chart to organize my information. A chart
keeps track of the *x* values that you are using
and the corresponding *y* value found when you
used a particular *x* value.

We will use the seven values of *x* that were
given to find corresponding functional values to give us seven ordered
pair solutions.

Keep in mind that the functional value that we find correlates to the
second or *y* value of our ordered pair.

*x***( x, y)**
-3
(-3, 13)
-2
(-2, 8)
-1
(-1, 5)
0
(0, 4)
1
(1, 5)
2
(2, 8)
3
(3, 13)

This function is a **quadratic
function**, so its graph will be a parabola.

We need to find the set of all input values. In terms of ordered pairs, that correlates with the first component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look to the
left and right and see if there are any end points. In

this case, note how the curve has arrows at both
ends, that means it would go on and on forever to the right and to the
left.

**This means that the domain is .**

We need to find the set of all output values. In terms of ordered pairs, that correlates with the second component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look up and
down and see if there are any end points. In this case, note
how the curve has a low endpoint of *y *= 4 and
it has arrows at both ends going up, that means it would go up on and on
forever.

**This means that the range is **.

; *x* = -3, -2, 1, 6

I'm going to use a chart to organize my information. A chart
keeps track of the *x* values that you are using
and the corresponding *y* value found when you
used a particular *x* value.

We will use the four values of *x* that were
given to find corresponding functional values to give us four ordered pair
solutions.

Keep in mind that the functional value that we find correlates to the
second or *y* value of our ordered pair.

*x***( x, y)**
-3
(-3, 0)
-2
(-2, 1)
1
(1, 2)
6
(6, 3)

This function is a **square
root function**, so its graph will be a curve.

We need to find the set of all input values. In terms of ordered pairs, that correlates with the first component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look to the
left and right and see if there are any end points. In

this case, note how there is a left endpoint
at *x* = -3. Also note that the curve has
an arrow going to the right, that means it would go on and on forever
to the right.

**This means that the domain is .**

We need to find the set of all output values. In terms of ordered pairs, that correlates with the

second component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look up and
down and see if there are any end points. In this case, note
how the curve has a low endpoint of *y* = 3 and
it has an arrow going up, that means it would go on and on forever
up.

**This means that the range is **.

; *x* = -3, -2, -1, 0, 1, 2, 3

I'm going to use a chart to organize my information. A chart
keeps track of the *x* values that you are using
and the corresponding *y* value found when you
used a particular *x* value.

We will use the seven values of *x* that were
given to find corresponding functional values to give us seven ordered
pair solutions.

Keep in mind that the functional value that we find correlates to the
second or *y* value of our ordered pair.

*x***( x, y)**
-3
(-3, -1)
-2
(-2, -2)
-1
(-1, -3)
0
(0, - 4)
1
(1, -3)
2
(2, -2)
3
(3, -1)

We need to find the set of all input values. In terms of ordered pairs, that correlates with the first component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look to the
left and right and see if there are any end points. In

this case, note how there are arrows at both
ends, that means it would go on and on forever to the right and to the
left.

**This means that the domain is .**

We need to find the set of all output values. In terms of ordered pairs, that correlates with the

second component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look up and
down and see if there are any end points. In this case, note
how the graph has a low endpoint of* y* = -4
and it has an arrows that go up, that means it would go up on and on forever.

**This means that the range is **.

; *x* = -3, -2, -1, 0, 1, 2, 3

We will use the seven values of *x* that were
given to find corresponding functional values to give us seven ordered
pair solutions.

Keep in mind that the functional value that we find correlates to the
second or *y* value of our ordered pair.

*x***( x, y)**
-3
(-3, 4)
-2
(-2, 4)
-1
(-1, 4)
0
(0, 4)
1
(1, 4)
2
(2, 4)
3
(3, 4)

This function is a **constant
function**, so its graph will be a horizontal line.

We need to find the set of all input values. In terms of ordered pairs, that correlates with the first component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look to the
left and right and see if there are any end points. In

this case, note how the curve has arrows at both
ends, that means it would go on and on forever to the right and to the
left.

**This means that the domain is .**

We need to find the set of all output values. In terms of ordered pairs, that correlates with the

second component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look up and
down and see if there are any end points. In this case, note
how the line does not go up or down and that all the values of* y* are 4.

**This means that the range is** {*y* | *y* = 4}.

; *x* = -2, -1, 0, 1, 2

We will use the five values of *x* that were
given to find corresponding functional values to give us five ordered pair
solutions.

Keep in mind that the functional value that we find correlates to the
second or *y* value of our ordered pair.

*x***( x, y)**
-2
(-2, -7)
-1
(-1, 0)
0
(0, 1)
1
(1, 2)
2
(2, 9)

This function is a **cubic
function**, so its graph will be a curve.

We need to find the set of all input values. In terms of ordered pairs, that correlates with the first component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look to the
left and right and see if there are any end points. In

this case, note how the curve has arrows at both
ends, that means it would go on and on forever to the right and to the
left.

**This means that the domain is .**

We need to find the set of all output values. In terms of ordered pairs, that correlates with the

second component of each one. In terms of this two dimensional graph, that corresponds with the

Since that is the case, we need to look up and down and see if there are any end points. In this case, note how the curve has arrows at both ends, that means it would go on and on forever up and down.

**This means that the range is**.

Last revised on April 7, 2010 by Kim Seward.

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