You Are Given a Graph of a Function of the Form

question 260

Multiple Choice

You are given a graph of a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ for different values of $a , b$ , and $c$ . For this function,
a. Determine whether the discriminant is positive, negative, or zero.
b. Determine if there are 0,1 , or 2 real solutions to $f ( x ) = 0$ .
c. Solve the equation $f ( x ) = 0$ .
-A grasshopper is perched on a reed 5 inches above the ground. It hops off the reed and lands on the ground about 7.9 inches away. During its hop, its height is given by the equation $$h = - 0.3 x ^ { 2 } + 1.75 x + 5$$ , where x is the
Distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of
The reed when it was 3.25 inches above the ground? Round to the nearest tenth.

• A) 0.9 in.
• B) 6.7 in.
• C) 7.9 in.
• D) 1.3 in.

---

Definitions:

Challenges

Difficult situations or obstacles that require a solution or overcoming.

Jury Selection

The process of questioning and choosing jurors from a pool of candidates to serve on a jury during a trial.

Competitive Industry

A Competitive Industry is characterized by many producers and consumers with the products being largely similar, leading to minimal ability for firms to set prices higher than market rates.

Long-Run Equilibrium

is an economic condition where all inputs and outputs in a market are fully adjusted to any changes, leading to a stable state of operations over time.