A. Not a function since we have the points (-1,0) and (-1,3). The x value repeats while the y values are different. Plugging in x = -1 leads to multiple outputs, which shows we don't have a function. To get a better visual, you can plot the points. You'll see that the points form a vertical line. Therefore, this graph fails the vertical line test.
B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.
C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7
D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.
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Answer: Choice B
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Answer:
7.65 or 7.7 rounded to 1 DP
Step-by-step explanation:
To find the length of the side of a cube we do the inverse of finding the volume.
one side= x
If x³ = volume, therefore ∛448 is how to find the length of one side.
∛448= 7.65
I hope this helps you.
Answer:
(-3, ∞)
Step-by-step explanation:
Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.
We can tell by the graph that the y value of the vertex is at -3, so that means the answer can't be the fourth one.
Therefore, the answer is (-3, ∞)
Answer:
The mathematical expression is false
Step-by-step explanation:
* Lets use the figure to answer the question
- There are four triangles in the figure
- Δ ROB and Δ PTA appear congruent because:
# The side RO appears equal the side PT
∴ RO ≅ PT
# The side OB appears equal the side TA
∴ OB ≅ TA
# The side RB appears equal the side PA
∴ RB ≅ PA ⇒ SSS
∴ Δ ROB ≅ Δ PTA
- Δ DEF and Δ YXW appear congruent because:
# The side DE appears equal the side YX
∴ DE ≅ YX
# The side EF appears equal the side XW
∴ EF ≅ XW
# The side DF appears equal the side YW
∴ DF ≅ YW
∴ Δ DEF ≅ Δ YXW ⇒ SSS
- Δ ROB and Δ DEF have different shapes and sizes
∵ Δ ROB not appear congruent to Δ DEF
∴ Δ ROB ≠ Δ DEF
∴ The mathematical expression is false
