Question 1

Draw a complete graph so that it has the given type of symmetry.
-Symnetric with respect to the $x - a x i s$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 2

Find the slope-intercept form of the equation of the line with the given properties.
-Horizontal; containing the point $( - 4 , - 1 )$

Accepted Answer

A)  $x = - 1$ 
B)  $x = - 4$ 
C)  $y = - 1$ 
D)  $y = - 4$ 
A)  $x = - 1$ 
B)  $x = - 4$ 
C)  $y = - 1$ 
D)  $y = - 4$

Question 3

Tell in which quadrant or on what coordinate axis the point lies.
-$$( 12 , - 13 )$$

Accepted Answer

A)  Quadrant II 
B)  Quadrant I 
C)  Quadrant III 
D)  Quadrant IV 
A)  Quadrant II 
B)  Quadrant I 
C)  Quadrant III 
D)  Quadrant IV

Question 4

List the intercepts for the graph of the equation.
-$$4 x ^ { 2 } + 16 y ^ { 2 } = 64$$

Accepted Answer

A)  $( - 16,0 ) , ( 0 , - 4 ) , ( 0,4 ) , ( 16,0 )$ 
B)  $( - 4,0 ) , ( - 16,0 ) , ( 16,0 ) , ( 4,0 )$ 
C)  $( - 4,0 ) , ( 0 , - 2 ) , ( 0,2 ) , ( 4,0 )$ 
D)  $( - 2,0 ) , ( - 4,0 ) , ( 4,0 ) , ( 2,0 )$ 
A)  $( - 16,0 ) , ( 0 , - 4 ) , ( 0,4 ) , ( 16,0 )$ 
B)  $( - 4,0 ) , ( - 16,0 ) , ( 16,0 ) , ( 4,0 )$ 
C)  $( - 4,0 ) , ( 0 , - 2 ) , ( 0,2 ) , ( 4,0 )$ 
D)  $( - 2,0 ) , ( - 4,0 ) , ( 4,0 ) , ( 2,0 )$

Question 5

Choose the one alternative that best completes the statement or answers the question.
Find the general form of the equation for the line with the given properties.
-Slope $= \frac { 4 } { 5 } ; y$-intercept $= \frac { 12 } { 5 }$

Accepted Answer

A)  $y = \frac { 4 } { 5 } x - \frac { 12 } { 5 }$ 
B)  $4 x + 5 y = - 12$ 
C)  $4 x - 5 y = - 12$ 
D)  $y = \frac { 4 } { 5 } x + \frac { 12 } { 5 }$ 
A)  $y = \frac { 4 } { 5 } x - \frac { 12 } { 5 }$ 
B)  $4 x + 5 y = - 12$ 
C)  $4 x - 5 y = - 12$ 
D)  $y = \frac { 4 } { 5 } x + \frac { 12 } { 5 }$

Question 6

Find the center (h, k) and radius r of the circle with the given equation.
-$$x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = ( - 8,2 ) ; \mathrm { r } = 3$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 2 , - 8 ) ; \mathrm { r } = 3$ 
C)  $( h , k ) = ( 8 , - 2 ) ; r = 9$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 2,8 ) ; \mathrm { r } = 9$ 
A)  $( \mathrm { h } , \mathrm { k } ) = ( - 8,2 ) ; \mathrm { r } = 3$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 2 , - 8 ) ; \mathrm { r } = 3$ 
C)  $( h , k ) = ( 8 , - 2 ) ; r = 9$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 2,8 ) ; \mathrm { r } = 9$

Question 7

Solve the problem.
-If (1, -4) is the endpoint of a line segment, and (3, 1) is its midpoint, find the other endpoint.

Accepted Answer

A)  (11, 0) 
B)  (5, 6) 
C)  (5, -9) 
D)  (-3, -14) 
A)  (11, 0) 
B)  (5, 6) 
C)  (5, -9) 
D)  (-3, -14)

Question 8

Graph the circle with radius r and center (h, k).
-$r=2 ;(\mathrm{h}, \mathrm{k})=(0,0)$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 9

List the intercepts and type(s) of symmetry, if any.
-$$y = \frac { - x ^ { 5 } } { x ^ { 2 } - 6 }$$

Accepted Answer

A)  intercept: $( 0,0 )$
symmetric with respect to origin 
B)  intercept: $( 0,0 )$
symmetric with respect to $x$-axis 
C)  intercepts: $( \sqrt { 6 } , 0 ) , ( - \sqrt { 6 } , 0 ) , ( 0,0 )$
symmetric with respect to origin 
D)  intercept: $( 0,0 )$
symmetric with respect to $\mathrm { y }$-axis 
A)  intercept: $( 0,0 )$
symmetric with respect to origin 
B)  intercept: $( 0,0 )$
symmetric with respect to $x$-axis 
C)  intercepts: $( \sqrt { 6 } , 0 ) , ( - \sqrt { 6 } , 0 ) , ( 0,0 )$
symmetric with respect to origin 
D)  intercept: $( 0,0 )$
symmetric with respect to $\mathrm { y }$-axis

Question 10

Find an equation for the line with the given properties.
-Vertical line; containing the point $( - 1,1 )$

Accepted Answer

A)  $y = - 1$ 
B)  $x = - 1$ 
C)  $x = 1$ 
D)  $y = 1$ 
A)  $y = - 1$ 
B)  $x = - 1$ 
C)  $x = 1$ 
D)  $y = 1$

Question 11

Find an equation for the line with the given properties.
-Perpendicular to the line $y = \frac { 1 } { 5 } x + 6 ;$ containing the point $( 2 , - 2 )$

Accepted Answer

A)  $y = - \frac { 1 } { 5 } x - \frac { 8 } { 5 }$ 
B)  $y = 5 x - 8$ 
C)  $y = - 5 x + 8$ 
D)  $y = - 5 x - 8$ 
A)  $y = - \frac { 1 } { 5 } x - \frac { 8 } { 5 }$ 
B)  $y = 5 x - 8$ 
C)  $y = - 5 x + 8$ 
D)  $y = - 5 x - 8$

Question 12

Graph the line containing the point P and having slope m.
-$\mathrm{P}=(3,0) ; \mathrm{m}=-1$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

Find the distance d(P1, P2) between the points P1 and P2.
-$\mathrm { P } _ { 1 } = ( 0.3 , - 0.2 ) ; \mathrm { P } _ { 2 } = ( 2.1 , - 1.3 )$ Round to three decimal places, if necessary.

Accepted Answer

A)  $2.21$ 
B)  $2.11$ 
C)  $6.671$ 
D)  $14.5$ 
A)  $2.21$ 
B)  $2.11$ 
C)  $6.671$ 
D)  $14.5$

Question 14

Find the slope-intercept form of the equation of the line with the given properties.
-Slope $= 0$; containing the point $( 4 , - 5 )$

Accepted Answer

A)  $y = 4$ 
B)  $x = - 5$ 
C)  $x = 4$ 
D)  $y = - 5$ 
A)  $y = 4$ 
B)  $x = - 5$ 
C)  $x = 4$ 
D)  $y = - 5$

Draw a complete graph so that it has the given type of symmetry. -Symnetric with respect to the $x - a x i s$

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point $( - 4 , - 1 )$

Tell in which quadrant or on what coordinate axis the point lies. - $( 12 , - 13 )$

List the intercepts for the graph of the equation. - $4 x ^ { 2 } + 16 y ^ { 2 } = 64$

Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. -Slope $= \frac { 4 } { 5 } ; y$ -intercept $= \frac { 12 } { 5 }$

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9$

Solve the problem. -If (1, -4) is the endpoint of a line segment, and (3, 1) is its midpoint, find the other endpoint.

Graph the circle with radius r and center (h, k). - $r=2 ;(\mathrm{h}, \mathrm{k})=(0,0)$ $Graph the circle with radius r and center (h, k). - r=2 ;(\mathrm{h}, \mathrm{k})=(0,0)$

List the intercepts and type(s) of symmetry, if any. - $y = \frac { - x ^ { 5 } } { x ^ { 2 } - 6 }$

Find an equation for the line with the given properties. -Vertical line; containing the point $( - 1,1 )$

Find an equation for the line with the given properties. -Perpendicular to the line $y = \frac { 1 } { 5 } x + 6 ;$ containing the point $( 2 , - 2 )$

Graph the line containing the point P and having slope m. - $\mathrm{P}=(3,0) ; \mathrm{m}=-1$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(3,0) ; \mathrm{m}=-1$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 0.3 , - 0.2 ) ; \mathrm { P } _ { 2 } = ( 2.1 , - 1.3 )$ Round to three decimal places, if necessary.

Find the slope-intercept form of the equation of the line with the given properties. -Slope $= 0$ ; containing the point $( 4 , - 5 )$

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Graphing Utilities

Filters

Exam 14: Foundations: a Prelude to Functions

Draw a complete graph so that it has the given type of symmetry. -Symnetric with respect to the x−axisx - a x i sx−axis

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point (−4,−1)( - 4 , - 1 )(−4,−1)

Tell in which quadrant or on what coordinate axis the point lies. - (12,−13)( 12 , - 13 )(12,−13)

List the intercepts for the graph of the equation. - 4x2+16y2=644 x ^ { 2 } + 16 y ^ { 2 } = 644x2+16y2=64

Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. -Slope =45;y= \frac { 4 } { 5 } ; y=54​;y -intercept =125= \frac { 12 } { 5 }=512​

Find the center (h, k) and radius r of the circle with the given equation. - x2−4x+4+y2+16y+64=9x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9x2−4x+4+y2+16y+64=9

Solve the problem. -If (1, -4) is the endpoint of a line segment, and (3, 1) is its midpoint, find the other endpoint.

Graph the circle with radius r and center (h, k). - r=2;(h,k)=(0,0)r=2 ;(\mathrm{h}, \mathrm{k})=(0,0)r=2;(h,k)=(0,0)

List the intercepts and type(s) of symmetry, if any. - y=−x5x2−6y = \frac { - x ^ { 5 } } { x ^ { 2 } - 6 }y=x2−6−x5​

Find an equation for the line with the given properties. -Vertical line; containing the point (−1,1)( - 1,1 )(−1,1)

Find an equation for the line with the given properties. -Perpendicular to the line y=15x+6;y = \frac { 1 } { 5 } x + 6 ;y=51​x+6; containing the point (2,−2)( 2 , - 2 )(2,−2)

Graph the line containing the point P and having slope m. - P=(3,0);m=−1\mathrm{P}=(3,0) ; \mathrm{m}=-1P=(3,0);m=−1

Find the distance d(P1, P2) between the points P1 and P2. - P1=(0.3,−0.2);P2=(2.1,−1.3)\mathrm { P } _ { 1 } = ( 0.3 , - 0.2 ) ; \mathrm { P } _ { 2 } = ( 2.1 , - 1.3 )P1​=(0.3,−0.2);P2​=(2.1,−1.3) Round to three decimal places, if necessary.

Find the slope-intercept form of the equation of the line with the given properties. -Slope =0= 0=0 ; containing the point (4,−5)( 4 , - 5 )(4,−5)

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Graphing Utilities

Filters

Draw a complete graph so that it has the given type of symmetry. -Symnetric with respect to the $x - a x i s$

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point $( - 4 , - 1 )$

Tell in which quadrant or on what coordinate axis the point lies. - $( 12 , - 13 )$

List the intercepts for the graph of the equation. - $4 x ^ { 2 } + 16 y ^ { 2 } = 64$

Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. -Slope $= \frac { 4 } { 5 } ; y$ -intercept $= \frac { 12 } { 5 }$

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9$

Graph the circle with radius r and center (h, k). - $r=2 ;(\mathrm{h}, \mathrm{k})=(0,0)$ $Graph the circle with radius r and center (h, k). - r=2 ;(\mathrm{h}, \mathrm{k})=(0,0)$

List the intercepts and type(s) of symmetry, if any. - $y = \frac { - x ^ { 5 } } { x ^ { 2 } - 6 }$

Find an equation for the line with the given properties. -Vertical line; containing the point $( - 1,1 )$

Find an equation for the line with the given properties. -Perpendicular to the line $y = \frac { 1 } { 5 } x + 6 ;$ containing the point $( 2 , - 2 )$

Graph the line containing the point P and having slope m. - $\mathrm{P}=(3,0) ; \mathrm{m}=-1$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(3,0) ; \mathrm{m}=-1$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 0.3 , - 0.2 ) ; \mathrm { P } _ { 2 } = ( 2.1 , - 1.3 )$ Round to three decimal places, if necessary.

Find the slope-intercept form of the equation of the line with the given properties. -Slope $= 0$ ; containing the point $( 4 , - 5 )$