BetterGrades Precalculus · Unit 4 · Assessment

Unit 4 Mastery Check

A 28–36 item check spanning every unit lesson.

mastery check

36 concrete items

A 28–36 item check spanning every unit lesson.

Assessment

Complete every required response

Item 101

f=x+10,g=2xf=x+10,g=2x; f(g(3))f(g(3)).

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: numeric

Item 202

f=x+10,g=2xf=x+10,g=2x; f(g(3))f(g(3)).

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: numeric

Item 303

g(f(3))g(f(3))

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: numeric

Item 404

Which acts first in f(g(x))?

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 505

f=2x+3,g=x2f=2x+3,g=x^2; ff after gg.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 606

f=2x+3,g=x2f=2x+3,g=x^2; ff after gg.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 707

gg after ff.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 808

f=1x,g=x4f=\frac{1}{x},g=x-4; domain.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 909

g(4)=1,f(1)=6g(4)=1,f(1)=6

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: numeric

Item 1010

g(4)=1,f(1)=6g(4)=1,f(1)=6

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: numeric

Item 1111

f(2)=5,g(5)=0f(-2)=5,g(5)=0

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: numeric

Item 1212

Undefined versus unknown.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 1313

Domain sqrt(x5)sqrt(x-5).

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 1414

Domain sqrt(x5)sqrt(x-5).

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 1515

Domain 1x216\frac{1}{x^2-16}.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 1616

Domain ln(4x2)ln(4-x^2).

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 1717

Is 2x+12x+1 one-to-one?

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 1818

Is 2x+12x+1 one-to-one?

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 1919

Is x3x^3 one-to-one?

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 2020

Horizontal-line test.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 2121

Inverse of x9x-9.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 2222

Inverse of x9x-9.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 2323

Inverse of 4x4x.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 2424

Inverse of x+32\frac{x+3}{2}.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 2525

Verifyx+5x5x+5 \qquad x-5

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 2626

Verifyx+5x5x+5 \qquad x-5

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 2727

Reflect (3,1)(3,-1) across y=xy=x.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 2828

Inverse range if original domain [2,)[2,∞).

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 2929

Simplifysqrt(48)sqrt(48)

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 3030

Simplifysqrt(48)sqrt(48)

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 3131

Evaluate16(34)16^(\frac{3}{4})

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: numeric

Item 3232

State domain of sqrt(3x)sqrt(3-x).

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: symbolic

Item 3333

Define residual.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 3434

Define residual.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 3535

Why inspect residual patterns?

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text

Item 3636

Give interpolation example.

The complete prompt remains readable and printable without JavaScript.

Repair this skill · Policy: exact text