AnswersAISD Algebraic Reasoning A Credit Recovery 2026-2027Modeling Functions Using Finite Differences

Modeling Functions Using Finite Differences — Cumulative exam Answers

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What is the range of the function f(x) = −(x + 3)2 + 7?

A
all real numbers less than or equal to 7
B
all real numbers greater than or equal to 7
C
all real numbers less than or equal to −3
D
all real numbers greater than or equal to −3
22
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The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

Question illustration
A
g(x) = (x – 5)3 + 3
B
g(x) = (x + 3)3 – 5
C
g(x) = (x – 3)3 + 5
D
g(x) = (x + 5)3 – 3
23

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been added to the exponential expression.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponent.
D
A whole number constant could have been subtracted from the exponent.
24

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

Question illustration
A
Tracie’s bus travels towards her home at an average speed of mile per minute.
Option A
B
Tracie’s bus travels towards her home at an average speed of 2 miles per minute.
C
Tracie’s bus travels away from her home at an average speed of mile per minute.
Option C
D
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.
25

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

A
Robin’s graph is a reflection of Giselle’s graph over the x-axis.
B
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
C
Robin’s graph is a translation of Giselle’s graph 1 unit down.
D
Robin’s graph is a translation of Giselle’s graph 1 unit left.

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