24-25 AR Topic 5-Linear Functions: K.F. & Graphing Using Desmos

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- Turn to pages 10-12
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Math Response

A. What is the zero of the function?

Type answer here

Correct Answer: 2.5

Deg^°

Rad

Multiple Choice

B. What is the y-intercept?

• (2.5, 0)

• (0, 2.5)

• (5, 0)

• (0, 5)

Multiple Choice

C. Several points of a graphed line are shown in the table below.

 

Which equation represents the same relationship?

• $$y=2x+3.5$$

• $$y=2x-3.5$$

• $$y=-3.5x+2$$

• $$y=3.5x+2$$

Multiple Choice

D. The graph of a linear function is shown on the grid.

 

Which equation is best represented by this graph?

• $$y+2=4(x-5)$$

• $$y+2=-4(x-5)$$

• $$y-5=4(x+2)$$

• $$y-5=-4(x+2)$$

Graphing

13   Graph the linear equation $$y=-3x+4.$$

Graphing

14   Graph the linear equation $$3x-5y=15.$$

Multiple Choice

1   Linear function k has a zero of -2 and a y-intercept of 6. 

Which graph best represents k?

Math Response

2  The graph of linear function g is shown on the grid.

What is the zero of g?

Type answer here

Correct Answer: -6

Deg^°

Rad

Math Response

3    What is the y-intercept of the line graphed on the grid?

Type answer here

Correct Answer: 5.5

Deg^°

Rad

Drag and Drop

4   The graph of a linear is shown on the grid.



What are the x-intercept and y-intercept of the line?



x-int:​

Placeholder

y-int:​

Placeholder

Drag these tiles and drop them in the correct blank above

(0,5)

(-1,0)

(-5,-2)

(-2,-5)

(0,-1)

(5,0)

Multiple Choice

5 The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured.

 

Which statement best describes the y-intercept of the graph?

• The water level increased by 0.25 ft per day.

• The maximum water level was 19.5 ft.

• The initial water level was 16 ft.

• The water level was measured for 14 days.

Multiple Choice

6    What is the equation in slope-intercept form of the line that passes through the points (-26, -11) and (39,34)?

• $$y=-\frac{9}{13}x+7$$

• $$y=-\frac{9}{13}x-7$$

• $$y=\frac{9}{13}x+7$$

• $$y=\frac{9}{13}x-7$$

Multiple Choice

7    What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2,-16)?

• $$y=-\frac{21}{2}x+5$$

• $$y=-\frac{2}{21}x+\frac{979}{21}$$

• $$y=-\frac{21}{2}x+\frac{979}{21}$$

• $$y=-\frac{2}{21}x+5$$

Multiple Choice

8 The graph of linear function g passes through the points (−7, −4) and (7, 6), as shown.

What are the slope and y-intercept of the graph of g?

• The slope is $$\frac{5}{7}$$ , and the y-intercept is −1.

• The slope is $$\frac{5}{7}$$ , and the y-intercept is 1.

• The slope is $$\frac{7}{5}$$ , and the y-intercept is −1.

• The slope is $$\frac{7}{5}$$ , and the y-intercept is 1.

Multiple Choice

9 The graph of a linear function is shown on the grid.

Which equation is best represented by this graph?

• $$y+7=-3(x-4)$$

• $$y+1=-3(x+2)$$

• $$y-4=3(x+7)$$

• $$y-2=3(x-1)$$

Math Response

10 The table represents some points on the graph of a linear function.

Write the function represents the same relationship.

Type answer here

Correct Answer: y=-3x-10.5

Deg^°

Rad

Multiple Choice

11 The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Based on the table, which function models this situation?

• $$f(n)=-3n+24$$

• $$f(n)=-\frac{1}{3}n+16$$

• $$f(n)=-3n+64$$

• $$f(n)=-\frac{1}{3}n+8$$

Multiple Choice

12 The graph of a linear function is shown on the grid.

 

 Which function is best represented by this graph?

• $$g(x)=6x+4$$

• $$g(x)=4x-\frac{2}{3}$$

• $$g(x)=-\frac{3}{2}x+6$$

• $$g(x)=-\frac{2}{3}x+4$$