Difference Quotient Quiz

Authored by Karen Herman

Mathematics

9th - 12th Grade

CCSS covered

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6 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the difference quotient of
$f\left(x\right)=x^2-5x$

2x+h

2x+h-5

h-5

2x+5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Choose which of the following is the correct way to start the first step of the difference quotient to
$g\left(x\right)=4x^2-2x$

$\frac{4\left(x+h\right)^2-2\left(x+h\right)-\left(4x^2-2x\right)}{h}$

$\frac{4\left(x+h\right)^2-2x}{h}$

$\frac{4\left(x+h\right)^2-\left(4x^2-2x\right)}{h}$

$\frac{4\left(x+h\right)^2-2\left(x+h\right)}{h}$

Tags

CCSS.HSA.REI.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Choose which of the following is the correct way to start the first step of the difference quotient to
$h\left(x\right)=\frac{1}{x-2}$

$\frac{\frac{1}{\left(x+h\right)-2}-\frac{1}{x-2}}{h}$

$\frac{1}{\left(x+h\right)-2}-\frac{1}{x-2}$

$\frac{\left[\left(x+h\right)-2\right]-\left(x-2\right)}{h}$

$\frac{\frac{1}{\left(x+h\right)-2}}{h}$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

MATH RESPONSE QUESTION

2 mins • 1 pt

Expand $\left(x+h\right)^2$
don't kill the butterfly

$x^2+2xh+h^2$

Mathematical Equivalence

Tags

CCSS.HSA.APR.C.5

FILL IN THE BLANKS QUESTION

1 min • 1 pt

If f(x)=3x-8; what is f(x+h) ?
Write the answer without parentheses.

(a)

Tags

CCSS.HSF.IF.A.2

MATH RESPONSE QUESTION

2 mins • 1 pt

If $f\left(x\right)=\sqrt[]{x-5}$
find
$\frac{f\left(x+h\right)-f\left(x\right)}{h}$

$\frac{\sqrt{x+h-5}-\sqrt{x-5}}{h}$

Mathematical Equivalence

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Difference Quotient

Find the difference quotient of f(x)=x2−5xf\left(x\right)=x^2-5xf(x)=x2−5x

Choose which of the following is the correct way to start the first step of the difference quotient to g(x)=4x2−2xg\left(x\right)=4x^2-2xg(x)=4x2−2x

Choose which of the following is the correct way to start the first step of the difference quotient to h(x)=1x−2h\left(x\right)=\frac{1}{x-2}h(x)=x−21​

Expand (x+h)2\left(x+h\right)^2(x+h)2 don't kill the butterfly

If f(x)=3x-8; what is f(x+h) ?Write the answer without parentheses. (a)

If f(x)=x−5f\left(x\right)=\sqrt[]{x-5}f(x)=x−5​ find f(x+h)−f(x)h\frac{f\left(x+h\right)-f\left(x\right)}{h}hf(x+h)−f(x)​

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Find the difference quotient of
$f\left(x\right)=x^2-5x$

Choose which of the following is the correct way to start the first step of the difference quotient to
$g\left(x\right)=4x^2-2x$

Choose which of the following is the correct way to start the first step of the difference quotient to
$h\left(x\right)=\frac{1}{x-2}$

Expand $\left(x+h\right)^2$
don't kill the butterfly

If f(x)=3x-8; what is f(x+h) ?
Write the answer without parentheses.

(a)

If $f\left(x\right)=\sqrt[]{x-5}$
find
$\frac{f\left(x+h\right)-f\left(x\right)}{h}$