Evaluating Functions

• 6

• 11

• 8

• 10

Answer explanation

To find f(2), substitute 2 into the function: f(2) = 3(2) + 5 = 6 + 5 = 11. Therefore, the correct answer is 11.

• 10

• 16

• 4

• 7

Answer explanation

To find g(3), substitute x with 3 in the function g(x) = x^2 - 4x + 7. This gives g(3) = 3^2 - 4(3) + 7 = 9 - 12 + 7 = 4. Therefore, the correct answer is 4

• 4

• 16

• 2

• 5

Answer explanation

To evaluate h(x) = √(x + 6) for x = 10, substitute 10 into the function: h(10) = √(10 + 6) = √16 = 4. However, the correct answer is 5, indicating a possible error in the question or answer choices.

• 0.25

• 4

• 0.5

• 2

Answer explanation

To find f(4), substitute x with 4 in the function f(x) = 1/x. This gives f(4) = 1/4 = 0.25. Therefore, the correct answer is 0.25.

• 1

• 0

• -1

• 2

Answer explanation

To find k(0), substitute x = 0 into the function k(x) = 2x^2 - 3x + 1. This gives k(0) = 2(0)^2 - 3(0) + 1 = 1. Therefore, the correct answer is 1.

• Buying 3 pounds of apples costs $7.

• Buying 7 pounds of apples costs $3.

• 3 dollars buys 7 pounds of apples.

• 7 dollars buys 7 pounds of apples.

Answer explanation

The statement f(3) = 7 means that when you buy 3 pounds of apples, it costs $7. Therefore, the correct interpretation is: Buying 3 pounds of apples costs $7.

• -19

• 1

• -1

• -10

Answer explanation

To find m(-2), substitute -2 for x in the equation m(x) = 5x - 9. This gives m(-2) = 5(-2) - 9 = -10 - 9 = -19. Thus, the correct answer is -19.

• 5 gallons of water are used after 20 minutes.

• 20 gallons of water are used after 20 minutes.

• 5 minutes of showering uses 20 gallons of water.

• 20 minutes of showering uses 5 gallons of water.

Answer explanation

The notation g(5) = 20 means that after 5 minutes of showering, 20 gallons of water have been used. Therefore, the correct interpretation is that 20 gallons of water are used after 5 minutes.

• 3

• 1

• 5

• 7

Answer explanation

To evaluate p(-1), substitute -1 into the polynomial: p(-1) = (-1)^3 - 2(-1) + 4 = -1 + 2 + 4 = 5. Thus, the correct answer is 5.

• -2

• 0

• 2

• 7

Answer explanation

To find f(0), substitute x with 0 in the function f(x) = 7x - 2. This gives f(0) = 7(0) - 2 = 0 - 2 = -2. Therefore, the correct answer is -2.