Spring ’04/MAT 140/Exam 3 Name: Show all your work.
1. (8pts) Use the graph of the function f, below, to answer the following questions.
a) What is f(−1)?
b) What are the x-intercepts?
c) Where is the function increasing?
d) Where does fhave a local minimum? What is its value?
e) How many solutions does the equation f(x) = 0.5 have?
2. (7pts) The quadratic function f(x) = −x2+x+ 2 is given. Do the following without
using the calculator.
a) Find the x-intercepts of its graph, if any.
b) Find the vertex of the graph.
c) Sketch the graph of the function.
d) What is the range of the function?
