Common Core HSF.IF.A.1 worksheet

Question 1

f(x) = x − 8. For what value of x is f(x) = −6?

x = 

Question 2

The function f = {(5, 5), (−5, 0), (6, 0), (1, 5), (−3, 1), (4, 1)}. How many different values are in its range?

Answer 

Question 3

Which set of ordered pairs is a function?

• A. {(−1, 3), (4, −1), (−2, −1), (−1, 0)}
• B. {(1, −2), (3, 1), (6, 2), (3, 0)}
• C. {(3, 0), (−4, 2), (4, 2), (3, 1)}
• D. {(−1, −4), (6, 7), (5, 5), (3, 4)}

Question 4

What is the domain of f(x) = √(x + 6) (real numbers only)?

• A. x > −6
• B. x ≥ −6
• C. x ≤ −6
• D. x ≠ −6

Question 5

R = {(1, 1), (−5, 3), (−1, −3), (3, 0)}. What is the domain of R?

• A. {−3, 0, 1, 3}
• B. {−5, −3, −1, 0, 1, 3}
• C. {−5, −1, 1, 3}
• D. {−5, −1, 1}

Question 6

What is the smallest x in the domain of f(x) = √(5x)?

Answer 

Question 7

Is this relation a function? {(−5, 3), (8, −4), (1, 6), (4, 0), (−5, 4)}

• A. Yes
• B. No

Question 8

The graph shows a set of points. Do they represent a function of x?

• A. Yes
• B. No

Question 9

f(x) = 2x² − x + 9. Find f(4).

Answer 

Question 10

f(x) = 3x + 3. For what value of x is f(x) = 3?

x = 

Question 11

The function f = {(1, 3), (−5, −2), (6, 3), (5, 1), (8, −2), (−4, 1)}. How many different values are in its range?

Answer 

Question 12

Which set of ordered pairs is a function?

• A. {(2, 7), (−3, 6), (−1, −4), (−3, 5)}
• B. {(−4, 0), (1, 4), (4, 5), (−4, −3)}
• C. {(3, 3), (6, 6), (−4, −2), (0, 5)}
• D. {(−1, 7), (−3, 7), (0, −3), (−3, 4)}

Question 13

What is the domain of f(x) = 1/√(x + 1) (real numbers only)?

• A. x ≥ −1
• B. x ≤ −1
• C. x ≠ −1
• D. x > −1

Question 14

R = {(5, 3), (−6, −2), (8, 5), (0, 2)}. What is the range of R?

• A. {−2, 2, 3, 5}
• B. {−6, −2, 0, 2, 3, 5, 8}
• C. {−6, 0, 5, 8}
• D. {−2, 2, 3}

Question 15

What is the smallest x in the domain of f(x) = √(3x − 3)?

Answer 

Question 16

Is this relation a function? {(7, 1), (1, 5), (6, 9), (8, 5), (2, −1)}

• A. Yes
• B. No