Interactive practice questions
A graph of the function $f\left(x\right)=-\frac{3}{x}$f(x)=−3x is shown below.
Complete the following statement.
If $x$x is positive, then as the value of $x$x approaches zero the value of the function approaches $\editable{}$.
Complete the following statement.
If $x$x is negative, then as the value of $x$x approaches zero the value of the function approaches $\editable{}$.
What is the equation of the vertical asymptote?
Complete the following statement.
If $x$x is positive, then as the value of $x$x gets very large (approaching $\infty$∞) the value of the function approaches $\editable{}$.
Complete the following statement.
If $x$x is negative, then as the value of $x$x gets very small (approaching $-\infty$−∞) the value of the function approaches $\editable{}$.
What is the equation of the horizontal asymptote?
A graph of the function $f\left(x\right)=4^x$f(x)=4x is shown below.
The graph of a function $f\left(x\right)$f(x) is shown below. Use this graph to help determine if each of following statements are true or false.
A graph of the function $f\left(x\right)=4+\frac{4}{x-5}$f(x)=4+4x−5 is shown below.