Question 1

Determine the slope and y-intercept of the function.&#10;G(x)= 3x&#10;A)m = 3; b = 0&#10;B)m = -3; b = 0&#10;C)  &#10;D)m = 0; b = 3

Accepted Answer

The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept. In this case, the function is already in slope-intercept form, with m = 3 (the coefficient of x) and b = 0 (no constant term). Therefore, the correct choice is A, with m = 3 and b = 0. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, G(x) is already in slope-intercept form, so the slope is the coefficient of x, which is 3, and the y-intercept is the constant term, which is 0. Therefore, the answer is A.

Question 2

Determine the slope and y-intercept of the function.&#10; &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

11ebbed0_cab7_571a_8acb_9bfc7a60cf3a_TB8253_11

Question 3

Use the slope and y-intercept to graph the linear function.&#10;f(x)= 2x - 2  &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

11ebbed0_cab7_a540_8acb_b99602a174cb_TB8253_11

Question 4

Determine the average rate of change for the function.&#10;f(x)= 6x + 11&#10;A)6&#10;B)-11&#10;C)11&#10;D)-6

Accepted Answer

The average rate of change formula is (f(b) - f(a))/(b-a). Therefore, plugging in the given function: (f(b) - f(a))/(b-a) = ((6b + 11) - (6a + 11))/(b-a) = (6b - 6a)/(b-a) = 6. Therefore, the answer is A) 6. The average rate of change of a linear function is equal to its slope. The given function is in the form of y = mx + b, where m is the slope. Therefore, the slope of the function is 6. Hence, the average rate of change is 6.

Question 5

Use the slope and y-intercept to graph the linear function.&#10; &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 6

Determine the slope and y-intercept of the function.&#10;p(x)= -x + 5&#10;A)m = -1; b =5&#10;B)m =1; b = - 5&#10;C)m = -1; b = - 5&#10;D)m = 0; b = 5

Accepted Answer

The equation is already in slope intercept form y= mx +b where m is the slope and b is the y-intercept. So, we can read off the values as m = -1 and b = 5. The only choice that matches this is A. The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept. Comparing this form to the given function p(x) = -x + 5, we see that the slope (m) is -1 and the y-intercept (b) is 5. Therefore, the best choice is A, which gives the correct values for both the slope and y-intercept.

Question 7

Determine the average rate of change for the function.&#10;h(x)= -5x - 10&#10;A)-5&#10;B)5&#10;C)- 10&#10;D)10

Accepted Answer

The average rate of change is equal to the slope of the line created by the function. In this case, the slope is -5, which is represented by choice A. The average rate of change of a linear function is equal to its slope. In the function h(x) = -5x - 10, the slope is -5, which is the coefficient of x. Therefore, the average rate of change is -5.

Question 8

Determine the slope and y-intercept of the function.&#10;h(x)= -12x - 4&#10;A)m = -12; b = - 4&#10;B)m = 12; b = 4&#10;C)m = 12; b = - 4&#10;D)m = -12; b = 4

Accepted Answer

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept. Thus, comparing h(x) = -12x - 4 to y = mx + b, we can see that the slope is -12 (m = -12) and the y-intercept is -4 (b = -4). Therefore, the correct choice is A. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In the given equation h(x)=-12x-4, the coefficient of x is -12, which is the slope, and the constant term is -4, which is the y-intercept. Therefore, the answer is A: m = -12; b = -4.

Question 9

Use the slope and y-intercept to graph the linear function.&#10; &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 10

Use the slope and y-intercept to graph the linear function.&#10;g(x)= -3x - 1  &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The slope of -3 means that for every 1 unit increase in x, the y-value decreases by 3 units. The y-intercept of -1 means the line crosses the y-axis at point (0, -1). Starting at this point, we can use the slope to move down 3 units and right 1 unit to find another point on the line, and continue this pattern to graph the entire line.

Question 11

Determine the average rate of change for the function.&#10;p(x)= -x + 4&#10;A)-1&#10;B)1&#10;C)- 4&#10;D)4

Accepted Answer

The answer of Determine the average rate of change for...

Question 12

Determine the average rate of change for the function.&#10;F(x)= -4&#10;A)0&#10;B)  &#10;C)4&#10;D)-4

Accepted Answer

The answer of Determine the average rate of change for...

Question 13

Use the slope and y-intercept to graph the linear function.&#10; &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 14

Use the slope and y-intercept to graph the linear function.&#10;G(x)= -5x  &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 15

Use the slope and y-intercept to graph the linear function.&#10; &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 16

Determine whether the given function is linear or nonlinear.&#10;  &#10;A)linear&#10;B)nonlinear

Accepted Answer

The answer of Determine whether the given function is linear...

Question 17

Use the slope and y-intercept to graph the linear function.&#10;p(x)= -x - 5  &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Use the slope and y-intercept to graph...

Question 18

Determine the average rate of change for the function.&#10; &#10;A)  &#10;B)  &#10;C)1&#10;D)- 1

Accepted Answer

The answer of Determine the average rate of change for...

Question 19

Determine the slope and y-intercept of the function.&#10;f(x)= 10x + 2&#10;A)m = 10; b = 2&#10;B)m = 10; b = -2&#10;C)m = -10; b = 2&#10;D)m = -10; b = -2

Accepted Answer

The answer of Determine the slope and y-intercept of the...

Question 20

Determine the slope and y-intercept of the function.&#10;F(x)= -6&#10;A)m = 0; b = -6&#10;B)m = -6; b = 0&#10;C)m = 0; b = 0&#10;D)m = -6; b = -6

Accepted Answer

The answer of Determine the slope and y-intercept of the...

Question 21

Determine the average rate of change for the function.&#10;  &#10;A)   &#10;B)   &#10;C)2&#10;D)- 2

Accepted Answer

The answer of Determine the average rate of change for...

Deck 4: Linear and Quadratic Functions