Digital ACT Practice Questions

What is the horizontal asymptote of the rational function $g(x) = \frac{4x^2 - 3x + 1}{2x^2 + 5x - 7}$?...

For all $x > 2$, which of the following is equivalent to $\frac{1}{x - 2} - \frac{2}{x + 3}$?...

If $\frac{2}{x} + \frac{3}{2x} = 7$, what is the value of $x$?...

Which of the following rational expressions has an oblique (slant) asymptote?...

What is the domain of the function $h(x) = \frac{\sqrt{x - 3}}{x - 5}$?...

If $\sin \theta = \frac{5}{13}$ and $\frac{\pi}{2} < \theta < \pi$, what is the value of $\cos \theta$?...

What is the period of the trigonometric function $f(x) = 3\sin(4x - \pi) + 2$?...

Which of the following is equivalent to the expression $\frac{\sin^2 \theta}{1 - \cos \theta}$ for all $\theta$ where the denominator is defined?...

If $\tan \theta = -\frac{4}{3}$ and $\cos \theta > 0$, what is the value of $\sin \theta$?...

What is the amplitude of the function $y = -5\cos(2x + \pi) - 3$?...

For what values of $x$ in the interval $0 \le x < 2\pi$ does $2\sin^2 x - \sin x - 1 = 0$?...

Which of the following is equivalent to $(\sin x + \cos x)^2$?...

If $\sec \theta = \frac{5}{4}$ and $\frac{3\pi}{2} < \theta < 2\pi$, what is the value of $\csc \theta$?...

In a right triangle $ABC$ with right angle at $C$, the measure of angle $A$ is $30^\circ$ and the length of the hypotenuse $AB$ is 16. What is the length of sid...

What is the maximum value of the function $f(x) = 4 - 7\cos(3x)$?...

If $\tan x = 1$ and $0 < x < \frac{\pi}{2}$, what is the value of $\sin x$?...

A surveyor stands 100 feet from the base of a vertical tower on level ground. The angle of elevation from the ground to the top of the tower is $37^\circ$. If $...