Maths4U Original · Short practice

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

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.

Maths4U Original · Short practice

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

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.

Maths4U Original · Short practice

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

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.

Maths4U Original · Short practice

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

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.

Maths4U Original · Short practice

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

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.

Maths4U Original · Short practice

For \(x\ne 16\), let \(\displaystyle f(x)=x + 5 + \frac{4}{x - 16}\).

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.

Maths4U Original · Short practice

For \(x\ne 16\), let \(\displaystyle f(x)=x + 5 + \frac{4}{x - 16}\).

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.

Maths4U Original · Short practice

For \(x\ne 18\), let \(\displaystyle f(x)=x + 3 + \frac{16}{x - 18}\).

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.