Quiz on Graphing and Circles, Exercises of Calculus

A short answer quiz on various topics related to graphing and circles, including finding intercepts, centers and radii of circles, symmetry, and solving equations. Students are required to complete statements and questions by filling in the blank with the correct word or phrase.

Typology: Exercises

2012/2013

Uploaded on 02/06/2013

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Name__________________________________
_
1.1-1.4 Quiz
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question
.
Draw a complete graph so that it has the given type of symmetry
.
1
)
S
y
mmetric with respect to the
y
-axis. (1 point)
x
-5-4-3-2-1 12345
y
5
4
3
2
1
-1
-2
-3
-4
-5
x
-5-4-3-2-1 12345
y
5
4
3
2
1
-1
-2
-3
-4
-5
Give the x- and y-intercepts.
2
)
(2 points)
1
pf3

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Name___________________________________

1.1-1.4 Quiz

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Draw a complete graph so that it has the given type of symmetry.

1) Symmetric with respect to the y-axis. (1 point)

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

Give the x- and y-intercepts.

2) (2 points)

Find the center (h, k) and radius r of the circle. Graph the circle.

3) Find the center and radius of x 2 + y 2 + 4 x + 12 y + 15 = 0. Then graph the equation.

(4 points)

-10 10 x

10 y

-10 10 x

10 y

Write the standard form of the equation for the circle.

4) Give the equation for a circle. (2 points)

Center at (2, -4), radius 2

Determine the symmetry (be sure to support your answer). (2 points)

5) y = -5x3 + 2x

Use a calculator to approximate the real solutions, if any, of the equation rounded to two decimal places. (2 points)

6) x4 - 3x2 + 4x - 10 = 0