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Mathematics

11th Grade

CCSS covered

Rational Expressions, Equations and Functions
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10 questions

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1.

MATH RESPONSE QUESTION

1 min • 1 pt

What is the removable discontinuity in the rational function listed below? f(x)=(x−7)(x+5)(x+5)(x+2)f\left(x\right)=\frac{\left(x-7\right)\left(x+5\right)}{\left(x+5\right)\left(x+2\right)}   x=?x=?   Type your answer as an integer that  xx  is equivalent to.

−5-5

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The process of forming a new function from two given functions by performing the two functions in succession is called what?

rationalizing the denominator

radical equations

composition of functions

conjugates

Tags

CCSS.HSF-BF.A.1C

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What can be found by exchanging the domain and range of a function?

inverse function

conjugate

radical

range of function

Tags

CCSS.HSF-BF.B.4A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

One of the steps that may be necessary to simplify the radical expression is what?

inverse function

radical equation

composition of function

rationalizing the denominator

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If every element of the domain of a function maps to the same value in the range, than it must be what type of function?

identity

inverse

radicand

index

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

6.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

The rational expression below simplifies to

ax−1\frac{a}{x-1}

What replaces a in the simplified form?

x(x+3)x2+2x−3\frac{x\left(x+3\right)}{x^2+2x-3}

(a)  

Tags

CCSS.HSA.APR.D.6

7.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

The rational expression below simplifies to

x−ax−4\frac{x-a}{x-4}

What replaces a in this simplified form?

x2−3x+2x2−5x+4\frac{x^2-3x+2}{x^2-5x+4}

(a)  

Tags

CCSS.HSA.APR.D.6

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