College Algebra DE Math 151 Fall 2025 Midterm REVIEW

Which of the following sets of ordered pairs represents a function?

• {(1,2),(2,3),(2,4),(3,5)}
• {(1,2),(2,3),(3,4),(4,5)}
• {(1,2),(2,3),(3,4),(3,5)}
• {(1,2),(1,2),(3,2),(4,2)}

Tags

CCSS.8.F.A.1

The relation {(1,3),(2,6),(3,9),(4,12)} is a function. What is the range of this function?

• {1,2,3,4}
• {3,6,9,12}
• {0,1,2,3}
• {6,12,18,24}

What is the vertex of the absolute value function f(x)=∣x−3∣+2?

• (3, 2)
• (-3, 2)
• (2, 3)
• (3, -2)

Tags

CCSS.HSF-IF.C.7D

Which of the following functions represents a reflection over the x-axis and a vertical shift 4 units up from f(x)=x² ?

• (3, 2)
• (-3, 2)
• (2, 3)
• (3, -2)

What is the x-intercept of the absolute value function f(x)=∣x−2∣+3?

• x = 2
• x = -3
• x = 5
• There is no x-intercept.

Tags

CCSS.HSF-IF.C.7D

Which of the following is true for the function f(x)=x² −4x + 5?

• It is symmetric about the y-axis.
• It is symmetric about the x-axis.
• It is symmetric about the origin.
• It has no symmetry.

Tags

CCSS.HSF.BF.B.3

What is the domain of the function f(x)=∣x+5∣−2?

• All real numbers.
• {x/x ≥ 0}
• {x/x ≥ -2}
• {x/ -2 < x < 0}

Evaluate the piecewise function when x=−3:

• -5
• -7
• -1
• 1

Tags

CCSS.HSF.IF.A.2

Which of the following functions is odd?

• f(x) = x³ - 2x
• f(x) = x² + 1
• f(x) = x⁴
• f(x) = | x |

Tags

CCSS.HSF.BF.B.3

Which of the following represents a function that is even?

• f(x) = x² + 4
• f(x) = x + 4
• f(x) = x³ + 2
• f(x) = | x + 2 |

Tags

CCSS.HSF.BF.B.3