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A linear function is given. Complete parts (a)-(d). g(x) = 3x+6 (a) Determine the slope and y-intercept of the function. The slope is. (Type an integer or a simplified fraction.) ... The y-intercept is (Type an integer or a simplified fraction.) (b) Use the slope and y-intercept to graph the linear function. Use the graphing tool to graph the function. Use the slope and y-intercept when drawing the line. Click to enlarge graph (c) Determine the average rate of change of the function. The average rate of change is (d) Determine whether the linear function is increasing, decreasing, or constant. Choose the correct answer below. A. decreasing B. increasing C. constant
Determine whether the given function is linear or nonlinear. If it is linear, determine the slope. Is the function a linear function? O Yes O No X -2 -1 0 1 2 OA. The slope of the function is OB. The function is not linear. y=f(x) -9 -5 - 1 3 7 Determine the slope. Select the correct choice below and fill in any answer boxes within your choice.
Determine whether the given function is linear or nonlinear. If it is linear, determine the slope. Is the function a linear function? O Yes O No 1 X 10123 y=f(x) -23 -3 5 1 14 Select the correct choice below and fill in any answer boxes within your choice. OA. The slope of the function is OB. The function is not linear.
Suppose that f(x) = 5x-2 and g(x) = - 2x + 5. (a) Solve f(x) = 0. (c) Solve f(x) = g(x). (e) Graph y = f(x) and y = g(x) and find the point that represents the solution to the equation f(x) = g(x). (a) For what value of x does f(x) = 0? X= (Type an integer or a simplified fraction.) (b) For which values of x is f(x) > 0? (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) (c) For what value of x does f(x) = g(x)? X = (Type an integer or a simplified fraction.) (d) For which values of x is f(x) ≤ g(x)? (b) Solve f(x) > 0. (d) Solve f(x) ≤ g(x). (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) (e) Use the graphing tool to graph the equations. * Click to enlarge graph
In parts (a)-(f), use the given figure. (a) Solve f(x) = 6. (b) Solve f(x) = 11. (c) Solve f(x) = 0. (d) Solve f(x) > 6. (e) Solve f(x) ≤11. (f) Solve 0<f(x) <11. y = f(x) (32,11) (12,6) (+12,0) G
Examine the scatter plot and determine whether the relation is linear or nonlinear. Choose the correct answer below. Linear relation Nonlinear relation ... ooo・ 0 ooo ooo ooo ooo 000 ロロ
A truck rental company rents a moving truck for one day by charging $25 plus $0.05 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 107 miles? 424 miles? Type the linear equation that relates the cost C, in dollars, of renting the truck to the number of x miles driven. c=0 (Use integers or decimals for any numbers in the expression. Do not include the $ symbol in your answer.) What is the cost of renting the truck if the truck is driven 107 miles? C=$ What is the cost of renting the truck if the truck is driven 424 miles? C=S
For the data given below, answer parts (a) through (f). 7 8 9 10 11 13 15 17 X y Ay 20- 4 5 (a) Draw a scatter plot. Choose the correct graph below. O A. 5 7 20- 20 6 8 B. 20 20- (b) Find the equation of the line containing the first and the last data points. 0+ (Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.) (c) Graph the line found in part (b) on the scatter plot. Choose the correct graph below. O A. OB. Ау 20 20- Q 20 Q Q O C. 20- O C. 20- 20 Q Q D. 20- 0 D. 20- Q Q
The following data represent the weight (in grams) of various candy bars and the corresponding number of calories. 490 (a) Draw a scatter diagram of the data treating weight as the independent variable. Choose the correct scatter diagram below. OA. OB. O C. ACalories 390+ 40 O Linear Nonlinear Q E ACalories Candy Bar Bar A Bar B Bar C Bar D Bar E 490- ACalories 490- x weight x weight (b) What type of relation appears to exist between the weight of a candy bar and the number of calories? Q 390+ 40 (c) Find the equation of the line that passes through (46,404) and (64,476) in slope-intercept form. De y= (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.) (d) Graph the line on the scatter diagram from part (a). Choose the correct graph below. OA. 8 B. 490 G ACalories Weight, x 50.4 55.1 46 53.6 56.1 Q ACalories 490- 390- 490 40 O C. x weight ACalories MacBook Air Calories, y 423.6 436.4 404 438.4 437.4 Q G Q Candy Bar Bar F Bar G Bar H Bar I Bar J O D. 390- 490- O D. 490 A Calories 40 9009 x weight ACalories 70 Q Weight, x 48.3 62.1 58.9 64 61.8 Q Calories, y 424.2 463.4 444.6 476 469.2 Next
(a) Draw a scatter diagram of the data treating weight as the independent variable. Choose the correct scatter diagram below. O A. B. O C. A Calories 490- 390+ 40 x weight Linear Nonlinear %0 OA. ACalories 490- 70 (b) What type of relation appears to exist between the weight of a candy bar and the number of calories? M 3904 40 O (c) Find the equation of the line that passes through (46,404) and (64,476) in slope-intercept form. G y = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.) (d) Graph the line on the scatter diagram from part (a). Choose the correct graph below. x weight 70 A Calories 1: 70 x weight 490- Q 390 G 40 ܘܤ ܘܘܘ B. A Calories 490- 390- 40 domo.com x weight 70 (e) Use the linear equation you found in part (c) to predict the number of calories in a candy bar that weighs 54.6 grams. ACalories 490- 390- 40 O C. 80 00 x weight 70 A Calories 490 Z 390+4 40 x weight Q O D. A Calories 490- JINL 390- 40 70 x weight OD. 490- 390- 40 8 969 Calories x weight Q Ne
Match each graph to one of the following functions. Select the function for each graph from the given options. f(x)=x²-2x+1 f(x)=x²-3 f(x)=x² - 2x f(x)=x²-2x+3 f(x) = -x2² - 1 f(x) = x² + 2x f(x) = x² + 2x +3 f(x)=x²+2x+1 Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph. 13. 16. 17. G G 14. 18. Q G 15. 19. ON 20. Q
For the quadratic function f(x) = -2x²+2x-2, answer parts (a) through (f). What is the equation of the axis of symmetry? The axis of symmetry is (Type an equation. Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave up Concave down (b) Find the y-intercept and the x-intercepts, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts. What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept. (c) Use parts (a) and (b) to graph the function. Use the graphing tool to graph the function.
Determine the quadratic function whose graph is given below. -10 -5 20- 10- -10- -20 Q-3) -4) 5 10
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value. 2 f(x) = -x-8x-5 The quadratic function has a The value is value.
Complete parts (a)-(d) for the functions f(x)=2x-5 and g(x)=x²-8. (a) Graph f and g on the same Cartesian plane. Choose the correct graph below. A. 5 OA. (b) Solve f(x) = g(x). The solution set is. (Use a comma to separate answers as needed.) (c) Use the result of part (b) to label the points of intersection of the graphs of f and g. O E. B. The points of intersection are 0. (Type an ordered pair. Use a comma to separate answers as needed.) (d) Shade the region between the two curves for which f(x) > g(x), that is, the region below f and above g. Choose the correct graph below. Q G OB. O F. O C. C. G. O D. O D. OH. Submit quiz
(b) Solve f(x) = g(x). The solution set is (Use a comma to separate answers as needed.) (c) Use the result of part (b) to label the points of intersection of the graphs of f and g. 5 The points of intersection are (Type an ordered pair. Use a comma to separate answers as needed.) (d) Shade the region between the two curves for which f(x) > g(x), that is, the region below f and above g. Choose the correct graph below. OA. OE. O B. O F. O C. OG. D. OH. Q