Name: 
Group (circle 1) 1 2 3 4 Math 131 C candy-bar quiz 1, Tom Linton

1. Shown below is a graph of the function f(x). Use the graph to answer the following questions.

1. At x = 1.5, is f(x) increasing or decreasing?
   
   
   
   
   
2. Is f(x) concave up or concave down at x = 0.5?
   
   
   
   
   
3. Estimate f(1).
   
   
   
   
   
   
4. Estimate one value of x with f(x) = 1.
   
   
   
   
   
   
5. For x between 0.5 and 1.25, where (x = what value) is f(x) increasing the fastest?
   
   
   
   
   
   

 
 
 

2. Let g(x) = 2^x - x^2.
1. For x between -2 and 5, sketch a good graph of g(x).
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
2. Estimate (closely) the location of the hilltop (local maximum) near x = 1 on the graph of g(x).
   
   
   
   
   
   
   
   
   
   
3. Estimate (closely) the value of x near x = -1, where g(x) = 0.