Answers HCISD Algebra II A-CRRelations and Functions

Relations and Functions — Unit test Answers

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Which table represents the same relation as the set ?

A 2-column table has 4 rows. The first column is labeled x with entries negative 6, 4, negative 4, 0. The second column is labeled y with entries negative 3, 2, negative 1, 2.

A 2-column table has 4 rows. The first column is labeled x with entries negative negative 6, negative 4, negative 3, negative 1. The second column is labeled y with entries 4, 0, 2, 2.

A 2-column table has 4 rows. The first column is labeled x with entries 6, 4, 3, 1. The second column is labeled y with entries negative 6, negative 4, negative 3, negative 1.

A 2-column table has 4 rows. The first column is labeled x with entries negative 4, 0, 2, 2. The second column is labeled y with entries negative 6, negative 4, negative 3, negative 1.

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Which graph shows h(x) = (f(x))(g(x))?

Option

Jamilla solved the inequality and graphed the solution as shown below. What is the value of b and the missing symbol in Jamilla’s inequality?

b = –1,

b = 1,

Which graph represents an odd function?

There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).

There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).

There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)

There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

Edmundo used a number line to show the solution for the inequality . Which number line shows the solution?

Option

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

4x3 + 18x2 – 10x

x2 + 9x – 2

16x2 + 4x – 6

4x2 + 20x – 2

Which of the following is an even function?

g(x) = (x – 1)2 + 1

g(x) = 2x2 + 1

g(x) = 4x + 2

g(x) = 2x

The function C(L) = |L – 105| can be used to determine the difference between the expected and actual crop of lemons, L, from a single tree. The estimated total weight in pounds of number of lemons can be modeled by the function w(L) = 0.25L.

w(C((L))) = 0.25|L – 105|

w(C((L))) = 0.25|L – 26.25|

w(C((L))) = |0.25L – 105|

w(C((L))) = |0.25L – 26.25|

Which statement is true about ?

The graph of f(x) has a vertex of (–4, 6).

The graph of f(x) is a horizontal stretch of the graph of the parent function.

The graph of f(x) opens upward.

The graph of f(x) has a domain of x –6.

Environmentalists estimate an annual population decrease of giraffes in the wild of 3.5% due to development. This can be modeled by the function p(x) = 140,000(0.965)x, where x is the number of years of tracking the populations. Conservationists have developed a sanctuary that has shown the ability to increase the population by 0.85% per year. The increase can be modeled by the function S(p) = p(1.0085)x.

S(p(x)) = 135,100(0.9732)x

S(p(x)) = 135,100(1.9735)x

S(p(x)) = 140,000(0.9732)x

S(p(x)) = 140,000(1.9735)x

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

(0, 6)

(1, 4)

(2, 2)

(3, 0)

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

Since the function is even, the outputs of a negative y-value and a positive y-value are the same.

The graph has rotational symmetry, so the point will be reflected across the y-axis.

The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

What is the solution to the inequality ?

–3 > n > –2

2 < n < 3

n –2

n 3

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

15.15 oz to 16.00 oz

15.85 oz to 16.00 oz

15.85 oz to 16.15 oz

16.15 oz to 16.45 oz

The table shows three functions and their output values for different values of x.