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

Modeling Functions Using Finite Differences — Cumulative exam Answers

23 verified answers3 views
21
Free Preview

Thomas is building rectangular boxes. The table shows the area in square feet, f(x), of the bottom of a box when one side of the box is x feet long.

Question illustration
A
f(x) = x2 + 2x
B
Option
Option B
C
f(x) = 2x2
D
f(x) = 2x
22
Free Preview

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

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction y + x Over y minus x EndFraction
Option A
B
StartFraction (y minus x) (y + x) Over x squared y squared EndFraction
Option B
C
StartFraction x squared y squared Over (y + x) (y + x) EndFraction
Option C
D
StartFraction y minus x Over y + x EndFraction
Option D
24

Which could be the function graphed below?

Question illustration
A
f (x) = StartRoot x minus 5 EndRoot + 1
Option A
B
f (x) = StartRoot x minus 2 EndRoot
Option B
C
f (x) = StartRoot x EndRoot
Option C
D
f (x ) = StartRoot x + 4 EndRoot
Option D
25

A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?

A
The horizontal asymptote y = 30 means that the final concentration will always be less than 30%.
B
The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
C
The vertical asymptote x = 500 means that the volume of the solution will always be greater than 500 mL.
D
The vertical asymptote x = 0 means that the volume of the solution will always be greater than 0 mL.

Did you find these answers helpful?

Modeling Functions Using Finite Differences —…