Lab 02
Name:
Start time:
Number of questions:
8
This set of questions goes with the pages of applets and activities for Lab 02. Use the applets and activities there to answer the questions.
Question 1 (1 point)
Refer to lab page 2. Enter f(x) = abs(x). Move the slider to make the graph match the picture below. What is b ?
Answer
Question 2 (1 point)
Refer to lab page 2. Enter f(x)=sqrt(x), to plot the square root function. Move the slider to b = -2. Set the table to provide automatic entries. Notice that some table entries are labeled NaN. "NaN" means "Not a Number." What do the x values have in common for the NaN entries? There are three correct choices to mark below.
a.
They are values not in the domain of the functions.
b.
They are values not in the range of the functions.
c.
They are values for which the functions are not defined.
d.
They are values which would require you to take the square root of a negative number.
e.
They are values that reveal symmetry with respect to the y axis.
f.
They are values that reveal symmetry with respect to the origin.
Question 3 (1 point)
Refer to lab page 3. Set f(x)=x^2 and move the slider to make the graph look like the picture below. What is the value of c?
Answer
Question 4 (2 points)
Refer to lab page 3. Set f(x) to be a function of your choice and turn on automatic x table entries. Move the slider to vary the function g(x). Describe in a sentence or two the relationship between the table entries in column 2 (f(x) values) and table entries in column 3 (g(x) values). Which values in column 3 match up with which values in column 2?
Equation
Create new equation
Question 5 (1 point)
Refer to lab page 4. Find the WebCT key by giving an equation for the translated curve. Enter the word below.
Answer
Question 6 (2 points)
Refer to lab page 5. The inverse function grapher first graphs a function that you enter. Then the button labelled Graph inverse relation rotates the graph about the line y=x, which has the effect of interchanging the x and y coordinates of points on the curve. The result is the graph of the inverse relation. This relation is a function if the red graph satisfies the vertical line test, which happens if the original blue graph satisfies the horizontal line test. Graph the following functions, use the inverse grapher to graph the inverse relation. Mark all of the functions whose inverse relations are also functions.
a.
x^3+x
b.
x^3-x
c.
sqrt(x)
d.
x^2
e.
abs(x)
Question 7 (1 point)
Refer to lab page 5. Enter various linear functions, use the inverse grapher to plot the inverse, and note the slope of the inverse function. Make a conjecture about the relationship between the slope of the linear equation and the slope of its inverse.
a.
The inverse function has slope the negative of the slope of the original function.
b.
The inverse function has slope the same as the slope of the original function.
c.
The inverse function has slope the reciprocal of the slope of the original function.
d.
The inverse function has slope the negative reciprocal of the slope of the original function.
e.
The inverse function has a slope that does not depend on the slope of the original function.
Question 8 (1 point)
Refer to lab page 6. Graph f(x) = abs(2-abs(x)) and g(x) = abs(x-2)-4. What does the graph make you want to say?
a.
GE--We bring good things to life!
b.
Fly the friendly skies!
c.
Let's gooooo, Mountaineers!
d.
You deserve a break today!
e.
Like a rock!
Number of questions: 8