3. \( f ( x ) = a x ^ { 2 } \)
A. What effect does the value of "a" have on the graph of the parent quadratic function, \( f ( x ) = x ^ { 2 } \) , when \( 0 < a < 1 \) ?
B. Which of the following transformations best describes the effect of "a" when \( 0 < a < 1 \) ?
Translation (a "shift") Reflection Deflection (stretch or compress")
A 0<a<1 f(x) become the smaller the opening, the closer it is to the y-axis
B Reflection
If \( y = f ( g ( h ( x ) ) ) , \) then the derivative \( y ^ { \prime } \) is given by which for
a) \( f ^ { \prime } ( g ( h ( x ) ) \)
b) \( f ^ { \prime } ( g ( h ( x ) ) h ^ { \prime } ( x ) \)
c) None of these
d) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) \)
e) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) h ^ { \prime } ( x )\)
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
