Relationships between curves: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=(x-12)/(x-15)\). For the integer-count calculation restrict x to \(0\le x\le 17\).
Find the excluded x value.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Relationships between curves: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=(x-13)/(x-16)\). For the integer-count calculation restrict x to \(0\le x\le 18\).
Find the excluded x value.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Relationships between curves: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=(x-13)/(x-16)\). For the integer-count calculation restrict x to \(0\le x\le 18\).
Find the zero of f.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Relationships between curves: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=(x-14)/(x-17)\). For the integer-count calculation restrict x to \(0\le x\le 19\).
Find the zero of f.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Relationships between curves: check 3
Difficulty: ★★☆Maths4U Original · Short practice
For \(x\ne 14\), let \(f(x)=x + 3 + \frac{9}{x - 14}\).
Find the smaller stationary x-coordinate.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Relationships between curves: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
For \(x\ne 16\), let \(f(x)=x + 5 + \frac{4}{x - 16}\).
Find the smaller stationary x-coordinate.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Relationships between curves: check 4
Difficulty: ★★☆Maths4U Original · Short practice
For \(x\ne 15\), let \(f(x)=x + 4 + \frac{16}{x - 15}\).
Find the y-coordinate at the larger stationary x-coordinate.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Relationships between curves: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
For \(x\ne 16\), let \(f(x)=x + 5 + \frac{4}{x - 16}\).
Find the y-coordinate at the larger stationary x-coordinate.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.