Writing An Equation In Function Form Worksheet
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1
2Name _________________________________ Period_________ Date________________
Writing an Equation in Function Form
(page 1)
An equation is in function form when it is solved for y. (This form will be helpful when graphing a
+ = is not in function form. However, we can quickly rewrite
linear equation.) For example, 2
x y
8
= − +
it in function form by subtracting 2x from both sides of the equation:
y
2
x
8
is function form.
Examples: Write the equations in function form.
−
= −
− =
(a)
y
2
x
3
(b) 2
x y
5
Solution:
Solution:
− =
2
x y
5
original equation
−
= −
y
2
x
3
original equation
−
= −
2
x
2
x
subtract 2 from each side
x
+
=
+
2
x
2
x
add 2 to each side
x
− = −
+
−
y
2
x
5
multiply both sides by 1
=
−
y
2
x
3
function form
=
−
y
2
x
5
function form
Write the equations in function form. Show your work.
+ =
−
=
− =
1. 3
x y
4
2.
y
4
x
5
3. 3
x y
4
Name _________________________________ Period_________ Date________________
Writing an Equation in Function Form
(page 1)
An equation is in function form when it is solved for y. (This form will be helpful when graphing a
+ = is not in function form. However, we can quickly rewrite
linear equation.) For example, 2
x y
8
= − +
it in function form by subtracting 2x from both sides of the equation:
y
2
x
8
is function form.
Examples: Write the equations in function form.
−
= −
− =
(a)
y
2
x
3
(b) 2
x y
5
Solution:
Solution:
−
= −
− =
y
2
x
3
original equation
2
x y
5
original equation
+
=
+
−
= −
2
x
2
x
add 2 to each side
x
2
x
2
x
subtract 2 from each side
x
=
−
− = −
+
−
y
2
x
3
function form
y
2
x
5
multiply both sides by 1
=
−
y
2
x
5
function form
Write the equations in function form. Show your work.
+ =
−
=
− =
1. 3
x y
4
2.
y
4
x
5
3. 3
x y
4
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