Answers MISD-Algebra II-RECOVERY-A-2019-2020Unit Test

Unit Test Answers

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Which graph represents the same relation as the table below?xf(x)–25011–12–3

A coordinate plane has 4 points. The points are (negative 2, 5), (negative 1, 1), (0, negative 1), and (negative 2, negative 3)

A coordinate plane has 8 points. The points are (negative 2, 0), (0, 5), (0, 1), (0, 0), (0, negative 1), (0, negative 3), (1, 0), (2, 0).

A coordinate plane has 4 points. The points are (negative 3, 2), (negative 1, 1), (1, 0), (5, negative 2)

A coordinate plane has 4 points. The points are (negative 2, 5), (0, 1), (1, negative 1), (2, negative 3).

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What is the solution to the equation 3(x – 1) – 2(2x + 1) = 8(x – 1)?

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 u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

x3 – x2

–x3 + x2

–x3 + x2 – 1

x3 – x2 + 1

What is the value of the following function when x = 0?

y = negative 5

y = negative 2

y = negative 1

y = 0

Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 minutes. If the river flows at 4 mph, how fast can Samantha swim in still water?

3 mph

6 mph

7 mph

8 mph

Which function has an inverse that is also a function?

g(x) = 2x – 3

k(x) = –9x2

f(x) = |x + 2|

w(x) = –20

Which of the following is an odd function?

f(x) = x3 + 5x2 + x

f (x) = StartRoot x EndRoot

f(x) = x2 + x

f(x) = –x

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).

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

(ab)(x)

(StartFraction a Over b EndFraction) (x)

(a – b)(x)

(a + b)(x)

If and , what is the domain of ?

mc020-4.jpg

mc020-5.jpg

mc020-6.jpg

mc020-7.jpg

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

4x3 + 18x2 – 10x

x2 + 9x – 2

16x2 + 4x – 6

4x2 + 20x – 2

If f(x) = 7 + 4x and , what is the value of ?

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

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.

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

(f + g)(x) 3 for all values of x

(f + g)(x) 6 for all values of x

If , what is ?

mc003-3.jpg

mc003-4.jpg

f Superscript negative 1 Baseline (x) = one-ninth x + 2

f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth

What is the solution to the equation ?

a = –5

a = –3

a = 3

a = 5

If a(x) = 3x + 1 and , what is the domain of ?

mc017-3.jpg

mc017-4.jpg

mc017-5.jpg

mc017-6.jpg

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

–439

–141

153

443

Given and , for which value of does ?

x = three-halves

x = 2

x = five-halves

x = 4

If h(x) is the inverse of f(x), what is the value of h(f(x))?

f(x)

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

$117

$680

$760

$820

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

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

No, because the y-axis is a horizontal line.

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.

Yes, because the y-axis represents all vertical lines of the x-values.

Given , find f(7).

–4

Did you find these answers helpful?

Unit Test Answers

0 verified answers

Free Preview

Which graph represents the same relation as the table below?xf(x)–25011–12–3

A coordinate plane has 4 points. The points are (negative 2, 5), (negative 1, 1), (0, negative 1), and (negative 2, negative 3)

A coordinate plane has 8 points. The points are (negative 2, 0), (0, 5), (0, 1), (0, 0), (0, negative 1), (0, negative 3), (1, 0), (2, 0).

A coordinate plane has 4 points. The points are (negative 3, 2), (negative 1, 1), (1, 0), (5, negative 2)

A coordinate plane has 4 points. The points are (negative 2, 5), (0, 1), (1, negative 1), (2, negative 3).

Free Preview

What is the solution to the equation 3(x – 1) – 2(2x + 1) = 8(x – 1)?

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 u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

x3 – x2

–x3 + x2

–x3 + x2 – 1

x3 – x2 + 1

What is the value of the following function when x = 0?

y = negative 5

y = negative 2

y = negative 1

y = 0

3 mph

6 mph

7 mph

8 mph

Which function has an inverse that is also a function?

g(x) = 2x – 3

k(x) = –9x2

f(x) = |x + 2|

w(x) = –20

Which of the following is an odd function?

f(x) = x3 + 5x2 + x

f (x) = StartRoot x EndRoot

f(x) = x2 + x

f(x) = –x

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)

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

(ab)(x)

(StartFraction a Over b EndFraction) (x)

(a – b)(x)

(a + b)(x)

If and , what is the domain of ?

mc020-4.jpg

mc020-5.jpg

mc020-6.jpg

mc020-7.jpg

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

4x3 + 18x2 – 10x

x2 + 9x – 2

16x2 + 4x – 6

4x2 + 20x – 2

If f(x) = 7 + 4x and , what is the value of ?

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

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.

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

(f + g)(x) 3 for all values of x

(f + g)(x) 6 for all values of x

If , what is ?

mc003-3.jpg

mc003-4.jpg

f Superscript negative 1 Baseline (x) = one-ninth x + 2

f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth

What is the solution to the equation ?

a = –5

a = –3

a = 3

a = 5

If a(x) = 3x + 1 and , what is the domain of ?

mc017-3.jpg

mc017-4.jpg

mc017-5.jpg

mc017-6.jpg

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

–439

–141

153

443

Given and , for which value of does ?

x = three-halves

x = 2

x = five-halves

x = 4

If h(x) is the inverse of f(x), what is the value of h(f(x))?

f(x)

$117

$680

$760

$820

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

No, because the y-axis is a horizontal line.

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.

Yes, because the y-axis represents all vertical lines of the x-values.

Given , find f(7).

–4

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