Evaluating Linear and Quadratic Functions

• 6

• 11

• 8

• 10

Answer explanation

To evaluate the function f(x) = 3x + 5 at x = 2, substitute 2 for x: f(2) = 3(2) + 5 = 6 + 5 = 11. Thus, the correct answer is 11.

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

• 3

• 5

• 9

• 6

Answer explanation

To evaluate g(3), substitute x with 3 in the function: g(3) = 3^2 - 4(3) + 6 = 9 - 12 + 6 = 3. Thus, the correct answer is 3.

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

• 0

• 2

• 4

• -4

Answer explanation

To evaluate the function f(x) = -2x + 4 at x = 0, substitute 0 for x: f(0) = -2(0) + 4 = 0 + 4 = 4. Thus, the correct answer is 4.

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

• 3

• 1

• -3

• 5

Answer explanation

To evaluate g(-2), substitute -2 into the function: g(-2) = (-2)^2 + 2(-2) - 3 = 4 - 4 - 3 = -3. The correct answer is -3, not 5.

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

• 0

• 1

• -1

• 3

Answer explanation

To evaluate f(6), substitute x with 6 in the function: f(6) = (1/2)(6) - 3 = 3 - 3 = 0. Thus, the correct answer is 0.

Tags

CCSS.HSF.IF.A.2

• 3

• 5

• 7

• 1

Answer explanation

To find h(2), substitute x = 2 into h(x): h(2) = -2^2 + 4(2) - 1 = -4 + 8 - 1 = 3. Thus, the value of the function when x = 2 is 3.

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

• 3

• 5

• 7

• 9

Answer explanation

To evaluate f(3), substitute x with 3 in f(x) = 4x - 9: f(3) = 4(3) - 9 = 12 - 9 = 3. Thus, the correct answer is 3.

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

• 0

• 1

• -1

• 2

Answer explanation

To evaluate g(0), substitute x = 0 into g(x): g(0) = 2(0)^2 - 3(0) + 1 = 1. Thus, the correct answer is 1.

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

• 4

• 0

• 1

• 2

Answer explanation

To find h(5), substitute x with 5 in the function: h(5) = 5^2 - 5*5 + 4 = 25 - 25 + 4 = 4. The correct answer is 0, as the function evaluates to 0 when x = 5.

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

e

f

g

h

3

-7

7

-9

-1

-3

5

-5

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4