Exam 3: Graphs and Functions

Use a graphing calculator to solve the linear equation. -The graph of $\mathrm { y } 1$ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation $\mathrm { y } _ { 1 } = 0$ ? $Use a graphing calculator to solve the linear equation. -The graph of \mathrm { y } 1 is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation \mathrm { y } _ { 1 } = 0 ? - 90 , - \frac { 91 } { 10 } , \frac { 91 } { 10 } , 85$ $- 90 , - \frac { 91 } { 10 } , \frac { 91 } { 10 } , 85$

(Multiple Choice)

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Question 481

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 5,4 ) , \mathrm { Q } ( - 4 , - 1 )$

(Multiple Choice)

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Question 482

Match the description with the correct symbolic expression. -a line with a positive slope

(Multiple Choice)

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Question 483

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = ( - 6 x + 9 ) ^ { 2 }$

(Multiple Choice)

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Question 484

Decide whether the relation defines a function. - $x = y ^ { 4 }$

(Multiple Choice)

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Question 485

Find the center-radius form of the equation of the circle. -center $( 0,0 )$ , radius 7

(Multiple Choice)

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Question 486

Provide an appropriate response. -What is the distance from the origin to the point $( m , - n )$ ?

(Multiple Choice)

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Question 487

Find the center-radius form of the equation of the circle. -center $( - \sqrt { 2 } , - 2 )$ , radius $\sqrt { 2 }$

(Multiple Choice)

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Question 488

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 3 , - 5 ) , \mathrm { Q } ( 7 , - 7 )$

(Multiple Choice)

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Question 489

Find the specified domain. -Find the domain of $( f g ) ( x )$ when $f ( x ) = \frac { 2 } { x - 6 }$ and $g ( x ) = - 7 x - 5$

(Multiple Choice)

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Question 490

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

(Multiple Choice)

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Question 491

Write all linear equations in slope-intercept form. -In a lab experiment 3 grams of acid were produced in 17 minutes and 18 grams in 45 minutes. Find a linear equation that models the number of grams produced in x minutes.

(Multiple Choice)

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Question 492

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

(Multiple Choice)

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Question 493

Write an equation for the line described. Give your answer in slope-intercept form. -through $( - 4,5 ) , \mathrm { m } = 0$

(Multiple Choice)

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Question 494

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 3 \sqrt { 5 } , 5 \sqrt { 7 } ) , \mathrm { Q } ( - 2 \sqrt { 5 } , - 9 \sqrt { 7 } )$

(Multiple Choice)

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Question 495

Graph the point symmetric to the given point. - $\text { Plot the point } ( 9 , - 6 ) \text {, then plot the point that is symmetric to } ( 9 , - 6 ) \text { with respect to the origin. }$ $Graph the point symmetric to the given point. - \text { Plot the point } ( 9 , - 6 ) \text {, then plot the point that is symmetric to } ( 9 , - 6 ) \text { with respect to the origin. }$

(Multiple Choice)

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Question 496

Determine if the function is even, odd, or neither. - $f ( x ) = 3 x ^ { 2 } + 2$

(Multiple Choice)

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Question 497

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $x - 2 y = 18$

(Multiple Choice)

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Question 498

Find the slope of the line satisfying the given conditions. -through $( 6 , - 7 )$ and $( 4,2 )$

(Multiple Choice)

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Question 499

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $x + 8 y = 6$

(Multiple Choice)

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Question 500

Showing 481 - 500 of 531

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 5,4 ) , \mathrm { Q } ( - 4 , - 1 )$

Match the description with the correct symbolic expression. -a line with a positive slope

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = ( - 6 x + 9 ) ^ { 2 }$

Decide whether the relation defines a function. - $x = y ^ { 4 }$

Find the center-radius form of the equation of the circle. -center $( 0,0 )$ , radius 7

Provide an appropriate response. -What is the distance from the origin to the point $( m , - n )$ ?

Find the center-radius form of the equation of the circle. -center $( - \sqrt { 2 } , - 2 )$ , radius $\sqrt { 2 }$

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 3 , - 5 ) , \mathrm { Q } ( 7 , - 7 )$

Find the specified domain. -Find the domain of $( f g ) ( x )$ when $f ( x ) = \frac { 2 } { x - 6 }$ and $g ( x ) = - 7 x - 5$

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

Write all linear equations in slope-intercept form. -In a lab experiment 3 grams of acid were produced in 17 minutes and 18 grams in 45 minutes. Find a linear equation that models the number of grams produced in x minutes.

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Write an equation for the line described. Give your answer in slope-intercept form. -through $( - 4,5 ) , \mathrm { m } = 0$

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 3 \sqrt { 5 } , 5 \sqrt { 7 } ) , \mathrm { Q } ( - 2 \sqrt { 5 } , - 9 \sqrt { 7 } )$

Determine if the function is even, odd, or neither. - $f ( x ) = 3 x ^ { 2 } + 2$

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $x - 2 y = 18$

Find the slope of the line satisfying the given conditions. -through $( 6 , - 7 )$ and $( 4,2 )$

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $x + 8 y = 6$

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

For the points P and Q, find the distance d(P, Q). - P(5,4),Q(−4,−1)\mathrm { P } ( 5,4 ) , \mathrm { Q } ( - 4 , - 1 )P(5,4),Q(−4,−1)

Match the description with the correct symbolic expression. -a line with a positive slope

Consider the function h as defined. Find functions f and g so tha (f∘g)(x)=h(x)( f \circ g ) ( x ) = h ( x )(f∘g)(x)=h(x) - h(x)=(−6x+9)2h ( x ) = ( - 6 x + 9 ) ^ { 2 }h(x)=(−6x+9)2

Decide whether the relation defines a function. - x=y4x = y ^ { 4 }x=y4

Find the center-radius form of the equation of the circle. -center (0,0)( 0,0 )(0,0) , radius 7

Provide an appropriate response. -What is the distance from the origin to the point (m,−n)( m , - n )(m,−n) ?

Find the center-radius form of the equation of the circle. -center (−2,−2)( - \sqrt { 2 } , - 2 )(−2​,−2) , radius 2\sqrt { 2 }2​

For the points P and Q, find the distance d(P, Q). - P(3,−5),Q(7,−7)\mathrm { P } ( 3 , - 5 ) , \mathrm { Q } ( 7 , - 7 )P(3,−5),Q(7,−7)

Find the specified domain. -Find the domain of (fg)(x)( f g ) ( x )(fg)(x) when f(x)=2x−6f ( x ) = \frac { 2 } { x - 6 }f(x)=x−62​ and g(x)=−7x−5g ( x ) = - 7 x - 5g(x)=−7x−5

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

Write all linear equations in slope-intercept form. -In a lab experiment 3 grams of acid were produced in 17 minutes and 18 grams in 45 minutes. Find a linear equation that models the number of grams produced in x minutes.

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Write an equation for the line described. Give your answer in slope-intercept form. -through (−4,5),m=0( - 4,5 ) , \mathrm { m } = 0(−4,5),m=0

For the points P and Q, find the distance d(P, Q). - P(35,57),Q(−25,−97)\mathrm { P } ( 3 \sqrt { 5 } , 5 \sqrt { 7 } ) , \mathrm { Q } ( - 2 \sqrt { 5 } , - 9 \sqrt { 7 } )P(35​,57​),Q(−25​,−97​)

Determine if the function is even, odd, or neither. - f(x)=3x2+2f ( x ) = 3 x ^ { 2 } + 2f(x)=3x2+2

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - x−2y=18x - 2 y = 18x−2y=18

Find the slope of the line satisfying the given conditions. -through (6,−7)( 6 , - 7 )(6,−7) and (4,2)( 4,2 )(4,2)

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - x+8y=6x + 8 y = 6x+8y=6

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 5,4 ) , \mathrm { Q } ( - 4 , - 1 )$

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = ( - 6 x + 9 ) ^ { 2 }$

Decide whether the relation defines a function. - $x = y ^ { 4 }$

Find the center-radius form of the equation of the circle. -center $( 0,0 )$ , radius 7

Provide an appropriate response. -What is the distance from the origin to the point $( m , - n )$ ?

Find the center-radius form of the equation of the circle. -center $( - \sqrt { 2 } , - 2 )$ , radius $\sqrt { 2 }$

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 3 , - 5 ) , \mathrm { Q } ( 7 , - 7 )$

Find the specified domain. -Find the domain of $( f g ) ( x )$ when $f ( x ) = \frac { 2 } { x - 6 }$ and $g ( x ) = - 7 x - 5$

Write an equation for the line described. Give your answer in slope-intercept form. -through $( - 4,5 ) , \mathrm { m } = 0$

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( 3 \sqrt { 5 } , 5 \sqrt { 7 } ) , \mathrm { Q } ( - 2 \sqrt { 5 } , - 9 \sqrt { 7 } )$

Determine if the function is even, odd, or neither. - $f ( x ) = 3 x ^ { 2 } + 2$

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $x - 2 y = 18$

Find the slope of the line satisfying the given conditions. -through $( 6 , - 7 )$ and $( 4,2 )$

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $x + 8 y = 6$