6.04 Compare functions across representations
Interactive practice questions
Determine which two parent functions satisfy each of these conditions:
Domain of $\left\{x\quad\mid\quad x\in\mathbb{R}\right\}${x ∣ x∈ℝ}
Square root function
Linear function
Logarithmic function
Cube root function
Range of $\left\{y\quad\mid\quad y\ne0\right\}${y ∣ y≠0}
Quadratic function
Square root function
Rational-Linear function
Rational-Quadratic function
End behavior that as $x\to-\infty,y\to0$x→−∞,y→0
Exponential function
Rational-Linear function
Cubic function
Cube root function
Zero at the origin
Square root function
Rational-Linear function
Cubic function
Exponential function
A freight company charges a base fee for shipping and an additional fee for every ton of cargo beyond the first. The total shipping cost, measured in dollars, is shown for various cargo weights on the graph provided below.
Which function has a greater horizontal asymptote based on the graphs provided?
Which of the given functions has the left-most vertical asymptote?