Question

Use a graphing calculator to graph f of x equals the quotient of the quantity 3 times x squared minus 8 and the quantity x squared minus 4 and then select the response which is true.
f increases without bound
f has a horizontal tangent line
f has no tangent line
none of these responses

Answer 1

The graph of

$f\left(x\right)=\frac{3x^2-8}{x^2-4}$

is attached.

From the graph, it can be seen that the f has a horizontal tangent at y = 2.