What is an identity crisis?

With which parent are adolescents more likely to interact?

When does adolescence end?

Let $G$ be the group of all real-valued functions on the unit interval $[ 0,1 ] ,$ where we define, for $f , g \in G ,$ addition by $( f + g ) ( x ) = f ( x ) + g ( x )$ for every $x \in [ 0,1 ] .$ If $N = \{ f \in G | f \left( \frac { 1 } { 4 } \right) = 0 \} ,$ prove that $G / N \simeq$ real num- bers under $+ .$

Why might adolescence be considered a time of storm and stress?

How is a crowd different from a clique?

Why are adolescents influenced by their peers?

Solve each equation. Use set notation to express solution sets for equations with no solution or equations that are true for all real numbers.

$$3 ( x - 1 ) = 8 x + 6 - 5 x - 9$$

Compute the length of the curve over the given interval.

$$\mathbf { r } ( t ) = \langle 3 t , 4 t - 3,6 t + 1 \rangle , \quad 0 \leq t \leq 3$$

Use the upper-bounded simplex algorithm to solve the following LPs:

$$\begin{aligned} \max z &=4 x_{1}+3 x_{2} \\ \text { s.t. } & 2 x_{1}-x_{2} \leq 1 \\ x_{1}+6 x_{2} & \leq 6 \\ & x_{2} \leq 5 \\ x_{1}, x_{2} & \geq 0 \end{aligned}$$

state the domains and ranges of f and f^-1. f(x) = 3x + 1

Identify the property that justifies each statement. If $\angle R S T \cong \angle A B C$, then $\angle A B C \cong \angle R S T$.

Simplify each expression.

$$- 2 ( 3 + 2 ) ^ { 2 }$$

Use

$$\log _ { 4 } 2 = 0.5 , \log _ { 4 } 3 \approx 0.7925 , \text { and } \log _ { 4 } 5 \approx 1.1610$$

to approximate the value of each expression.

$$\log _ { 4 } 20$$