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The Algebra Buster
The Algebra Buster


May 24th









May 24th

Math 1A Worksheet 1

1. Introduce yourself to the rest of your group. Tell them where you’re
from and something interesting you did over the summer .

2. Sketch the graph of the function
f(t) = 1 - e-t

What are its domain and range?

3. A quadratic function f(x) is one of the form

f(x) = ax2+ bx + c

where a, b and c are real numbers and a 6= 0. Examples of quadratic functions are

(a) Can you find a quadratic function whose graph doesn’t intersect
the x-axis? One whose graph intersects the x-axis just once? How
about twice? More than twice?

(b) Can the graph of a quadratic function intersect the line y = 10
more than twice? How about the line y = x?
 

c) Can the graphs of two different quadratic functions intersect one
another more than twice?

Worksheet guidelines
• Write your names on the blackboard before you start working. (This
will help me learn them faster!)
• If you don’t understand the problem or you get stuck, make sure to give
everyone in the group a chance to figure it out. If you’re still stuck,
call me over and I’ll help out.
• Try not to erase your work before I’ve had the chance to look it over.
When you’ve finished a problem and everybody in the group under-
stands the solution , call me over to check your work.

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