M
Math Coach Amy
Amy Ferguson Moncure

SAT

Function Notation

Read a labeled point on a line.

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Key Ideas Together Independent Practice
What to Remember

Inside and outside

f(3) = 4

The point is (3, 4).

Read a labeled point

The point is (4, 7).

f(x) = y

f(4) = 7

Together

Together

Work these three in a session.

1

Which choice matches one of the labeled points?

−101234−10123456(0, 1)(0, 1)(1, 3)(1, 3)(2, 5)(2, 5)
A. f(3) = 1 B. f(0) = 3 C. f(1) = 3 D. f(5) = 2
Show Answer

The point is (1, 3).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(1) = 3

f(3) = 1 is the point (3, 1).

Answer: C. f(1) = 3

2

Which choice matches one of the labeled points?

−101234−3−2−1012345(0, 4)(0, 4)(1, 2)(1, 2)(3, −2)(3, −2)
A. f(3) = −2 B. f(−2) = 3 C. f(4) = 0 D. f(1) = 4
Show Answer

The point is (3, −2).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(3) = −2

f(−2) = 3 is the point (−2, 3).

Answer: A. f(3) = −2

3

Which choice matches one of the labeled points?

−10123456−4−3−2−10123(1, −2)(1, −2)(3, 0)(3, 0)(5, 2)(5, 2)
A. f(0) = 3 B. f(5) = −2 C. f(−2) = 1 D. f(3) = 0
Show Answer

The point is (3, 0).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(3) = 0

f(0) = 3 is the point (0, 3).

Answer: D. f(3) = 0

Independent

Independent Practice

Try these five on your own.

1

Which choice matches one of the labeled points?

−101234−1012345678(1, 1)(1, 1)(2, 4)(2, 4)(3, 7)(3, 7)
A. f(4) = 2 B. f(2) = 4 C. f(1) = 4 D. f(7) = 3
Show Answer

The point is (2, 4).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(2) = 4

f(4) = 2 is the point (4, 2).

Answer: B. f(2) = 4

2

Which choice matches one of the labeled points?

−2−10123−3−2−1012345(−1, 4)(−1, 4)(0, 1)(0, 1)(1, −2)(1, −2)
A. f(4) = −1 B. f(1) = 1 C. f(−1) = 4 D. f(0) = −2
Show Answer

The point is (−1, 4).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(−1) = 4

f(4) = −1 is the point (4, −1).

Answer: C. f(−1) = 4

3

Which choice matches one of the labeled points?

−3−2−1012345−1012345(−2, 1)(−2, 1)(0, 2)(0, 2)(4, 4)(4, 4)
A. f(0) = 2 B. f(2) = 0 C. f(1) = −2 D. f(4) = 2
Show Answer

The point is (0, 2).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(0) = 2

f(2) = 0 is the point (2, 0).

Answer: A. f(0) = 2

4

Which choice matches one of the labeled points?

−1012345−4−3−2−101234(1, −3)(1, −3)(3, 1)(3, 1)(4, 3)(4, 3)
A. f(−3) = 1 B. f(3) = −3 C. f(4) = 1 D. f(1) = −3
Show Answer

The point is (1, −3).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(1) = −3

f(−3) = 1 is the point (−3, 1).

Answer: D. f(1) = −3

5

Which choice matches one of the labeled points?

−2−10123−2−10123456(−1, 5)(−1, 5)(1, 1)(1, 1)(2, −1)(2, −1)
A. f(−1) = 2 B. f(2) = −1 C. f(5) = −1 D. f(1) = 5
Show Answer

The point is (2, −1).

The number inside the parentheses is the input, x.

The number outside is the output, y.

f(x) = y

f(2) = −1

f(−1) = 2 is the point (−1, 2).

Answer: B. f(2) = −1

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