Complete this table of values for $y = x^2 + x - 4$. | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | |-----|----|----|----|----|----|----|----| | y | -2 | -4 | 2 | -4 | -2 | 0 | 2 | (b) On the grid, draw the graph of $y = x^2 + x - 4$ for values of $x$ from -3 to 3. (c) Use the graph to estimate a solution to $x^3 + x - 4 = 0$.

Photo AI

Complete this table of values for $y = x^2 + x - 4$ - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 3

Question 4

Complete this table of values for $y = x^2 + x - 4$. | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | |-----|----|----|----|----|----|----|----| | y | -2 | -4 | 2 | -4... show full transcript

Worked Solution & Example Answer:Complete this table of values for $y = x^2 + x - 4$ - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 3

Step 1

Complete this table of values for $y = x^2 + x - 4$

96%

114 rated

Answer

x	-3	-2	-1	0	1	2	3
y	-2	-4	2	-4	-2	0	2

Step 2

On the grid, draw the graph of $y = x^2 + x - 4$ for values of $x$ from -3 to 3.

99%

104 rated

Answer

To draw the graph, plot the points from the completed table on the grid. The points to be plotted are:

(-3, -2)
(-2, -4)
(-1, 2)
(0, -4)
(1, -2)
(2, 0)
(3, 2)

After plotting these points, connect them with a smooth curve to represent the quadratic function.

Step 3

Use the graph to estimate a solution to $x^3 + x - 4 = 0$.

96%

101 rated

Answer

To estimate the solution of the equation $x^3 + x - 4 = 0$ , observe the intersections of the curve $y = x^3 + x$ with the horizontal line $y = 4$ . From the graph, one can see the approximate x-coordinates of the intersection points. A possible estimate is around $x ext{ value of } 1.6$ .

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;