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Practice — Rational functions • End-of-chapter review exercise 2

End-of-chapter review exercise 2: check 1
Difficulty: ★★☆
3053 • M4U-EXT-QP-9231-FP1-T402-O1

Maths4U Original · Short practice

For \(x\ne 13\), let \(f(x)=x + 2 + \frac{4}{x - 13}\).

Find the x-coordinate of the vertical asymptote.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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End-of-chapter review exercise 2: review variant 1
Difficulty: ★★☆
3054 • M4U-EXT-QP-9231-FP1-T402-O1-V1

Maths4U Original · Short practice

For \(x\ne 14\), let \(f(x)=x + 3 + \frac{9}{x - 14}\).

Find the x-coordinate of the vertical asymptote.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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End-of-chapter review exercise 2: check 2
Difficulty: ★★☆
3055 • M4U-EXT-QP-9231-FP1-T402-O2

Maths4U Original · Short practice

For \(x\ne 14\), let \(f(x)=x + 3 + \frac{9}{x - 14}\).

Find the y-intercept of the oblique asymptote.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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End-of-chapter review exercise 2: review variant 2
Difficulty: ★★☆
3056 • M4U-EXT-QP-9231-FP1-T402-O2-V1

Maths4U Original · Short practice

For \(x\ne 15\), let \(f(x)=x + 4 + \frac{16}{x - 15}\).

Find the y-intercept of the oblique asymptote.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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End-of-chapter review exercise 2: check 3
Difficulty: ★★☆
3057 • M4U-EXT-QP-9231-FP1-T402-O3

Maths4U Original · Short practice

Let \(f(x)=(x-15)/(x-18)\). For the integer-count calculation restrict x to \(0\le x\le 20\).

Find f(0).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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End-of-chapter review exercise 2: review variant 3
Difficulty: ★★☆
3058 • M4U-EXT-QP-9231-FP1-T402-O3-V1

Maths4U Original · Short practice

Let \(f(x)=(x-16)/(x-19)\). For the integer-count calculation restrict x to \(0\le x\le 21\).

Find f(0).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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End-of-chapter review exercise 2: check 4
Difficulty: ★★☆
3059 • M4U-EXT-QP-9231-FP1-T402-O4

Maths4U Original · Short practice

Let \(f(x)=(x-16)/(x-19)\). For the integer-count calculation restrict x to \(0\le x\le 21\).

Count the allowed integers with f(x)>0.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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End-of-chapter review exercise 2: review variant 4
Difficulty: ★★☆
3060 • M4U-EXT-QP-9231-FP1-T402-O4-V1

Maths4U Original · Short practice

Let \(f(x)=(x-17)/(x-20)\). For the integer-count calculation restrict x to \(0\le x\le 22\).

Count the allowed integers with f(x)>0.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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