Answers 2026-2027_MDCPS_1200330_Algebra 2_FYComparing Characteristics of Functions

Comparing Characteristics of Functions Answers

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Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3| + 4? Check three options.

f(x) = –2 (x – 8)2

h(x) = –5 |x| + 10

j(x) = –4(x + 2)2 + 8

Option

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The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.

The math function has the greater slope, which shows that the estimated time per question for math is less than the estimated time per question for language arts.

The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.

The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.

The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.

Which statements can be used to compare the functions? Select two options.

Only f(x) has an x-intercept.

g(x) has the greatest maximum.

All three functions have a y-intercept.

All three functions have the same range values.

All three functions have the same domain values.

Which statements comparing the functions are true? Select three options.

Only f(x) and h(x) have y-intercepts.

Only f(x) and h(x) have x-intercepts.

The minimum of h(x) is less than the other minimums.

The range of h(x) has more values than the other ranges.

The maximum of g(x) is greater than the other maximums.

Which statements accurately compare the functions on the graph? Select two options.

The square root and quadratic function share a y-intercept.

The square root and absolute value function share an x-intercept.

The range of the square root and quadratic function are the same.

The range of the square root and absolute value function are the same.

The quadratic function and the absolute value function have a minimum while the square root function has a maximum.

Which function has the greatest x-intercept?

f(x) = 3x – 9

g(x) = |x + 3|

h(x) = 2x – 16

j(x) = –5(x – 2)2

The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a total of 10 days.

Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.

Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.

Which function has a range limited to only negative numbers?

Option

Which function has a domain and range that includes all real values?

Option

Two different functions are shown.Function A:Function B:

The x-intercept in function B is one-third as large as the x-intercept in function A.

The x-intercept in function B is three times as large as the x-intercept in function A.

The distance between the x-intercepts in function A is half the distance between the x-intercepts of function B.

The distance between the x-intercepts in function A is twice the distance between the x-intercepts of function B.

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