Answers Algebra 2 SAT 26-27 Supplemental Wk3Inverse of a Function

Inverse of a Function — Cumulative exam Answers

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What is the exact value of sin(105°)?

Negative StartFraction StartStartRoot 2 minus StartRoot 3 EndRoot EndEndRoot Over 2 EndFraction

Negative StartFraction StartStartRoot 2 + StartRoot 3 EndRoot EndEndRoot Over 2 EndFraction

StartFraction StartStartRoot 2 minus StartRoot 3 EndRoot EndEndRoot Over 2 EndFraction

StartFraction StartStartRoot 2 + StartRoot 3 EndRoot EndEndRoot Over 2 EndFraction

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Consider the function.f(x) = x2 + 3Which answer pairs a possible domain restriction that if placed upon f(x) would impact f–1(x) as shown?

f(x) domain: x ≥ 3f–1(x) domain: x ≥ 3

f(x) domain: x ≥ 3f–1(x) range: y ≥ 3

f(x) domain: x ≥ 0f–1(x) domain: x ≥ 0

f(x) domain: x ≥ 0f–1(x) range: y ≥ 0

Which expression is equivalent to ?

Cosine (negative StartFraction pi Over 3 EndFraction)

Sine (negative StartFraction pi Over 3 EndFraction)

Cosine (StartFraction pi Over 2 EndFraction)

Sine (StartFraction pi Over 2 EndFraction)

What is the solution of ?

–1 < x < 1 or

x < –1 or

Which equation has x = 4 as the solution?

log Subscript 4 Baseline (3 x + 4) = 2

log Subscript 3 Baseline (2 x minus 5) = 2

log Subscript x Baseline 64 = 4

log Subscript x Baseline 16 = 4

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

exactly 5

5 or less

exactly 6

6 or less

What are the coefficients for the binomial expansion of (a + b)3?

1, 4, 6, 4, 1

1, 1

1, 2, 1

1, 3, 3, 1

Which statement comparing the oblique asymptotes of the functions f(x) and g(x) is true?

The oblique asymptote for g(x) is steeper than for f(x).

Both functions have the same oblique asymptote.

The oblique asymptote for f(x) is steeper than for g(x).

Both functions have parallel oblique asymptotes.

Study the graphs of f(x) and g(x).

Vertical stretch followed by a translation 1 unit left, so g(x) = f.

Vertical stretch followed by a translation 1 unit right, so g(x) = f.

Horizontal stretch followed by a translation 1 unit left, so g(x) = f.

Horizontal stretch followed by a translation 1 unit right, so g(x) = f.

Read the proof.

tangent double angle identity

tangent sum identity

tangent double angle identity

tangent sum identity

Marie spends $450.00 at a department store. She has two coupons: one for a 15% discount and one for $50 off any purchase above $300. The store allows the coupons to be combined. Which coupon should be applied first, and what is the final purchase price?

Apply the 15% discount first, and the final purchase price is $332.50.

Apply the 15% discount first, and the final purchase price is $340.00.

Apply the $50 off first, and the final purchase price is $332.50.

Apply the $50 off first, and the final purchase price is $340.00.

Review the proof.

1 – cos(x)

1 + cos(x)

StartRoot 1 minus cosine (x) EndRoot

StartRoot 1 + cosine (x) EndRoot

What is the solution of ?

What is the exact value of tan(195°)?

StartFraction StartRoot 3 EndRoot + 1 Over 1 minus StartRoot 3 EndRoot EndFraction

StartFraction StartRoot 3 EndRoot minus 3 Over 3 + StartRoot 3 EndRoot EndFraction

StartFraction StartRoot 3 EndRoot minus 1 Over 1 + StartRoot 3 EndRoot EndFraction

StartFraction StartRoot 3 EndRoot + 3 Over 3 minus StartRoot 3 EndRoot EndFraction

The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function?

h(5 – x)

1 + h(x)

h(x + 8)

–6h(x)

Which statement about the simplified binomial expansion of (a + b2)n, where n is a positive integer, is true?

The exponent of b will always be even.

The exponent of a will always be odd.

The sum of the exponents of a and b will always equal n.

The sum of the exponents of a and b will always equal n – 1.

A disc spins at a rate of 6.4 revolutions per minute. To the nearest tenth, what is the linear velocity, in meters per minute, of a point on the disc that is 3 cm from the center of the disc? m/min

Answer not available

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

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