The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.
<h3>How to graph an inequality?</h3>
The steps to graph an inequality equation are:
- Solve for the variable y in the given equation
- Graph the boundary line for the inequality
- Shade the region that satisfies the inequality.
<h3>Calculation:</h3>
The given inequality is y < x² + 1
Finding points to graph the boundary line by taking y = x² + 1:
When x = -2,
y = (-2)² + 1 = 4 + 1 = 5
⇒ (-2, 5)
When x = -1,
y = (-1)² + 1 = 2
⇒ (-1, 2)
When x = 0,
y = (0)² + 1 = 1
⇒ (0, 1)
When x = 1,
y = (1)² + 1 = 2
⇒ (1, 2)
When x = 2,
y = (2)² + 1 = 5
⇒ (2, 5)
Plotting these points in the graph forms an upward-facing parabola.
So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.
From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".
Learn more about graphing inequalities here:
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Answer:
150 Square feet
Step-by-step explanation:
15 feet long
10 feet wide
Area = length x width
15 x 10 = 150
150 Square feet
Hope this helped!
After the first 18 years, the population of 1500 will be doubled to 3000.
After the next 18 years, making 36 years total, the population of 3000 will double to 6000.
Answer:
263/10 as a decimal equals 26.3
Step-by-step explanation:
To write 263/10 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 263 by 10 what we write down as 263/10 and we get 26.3
hope this answer correct :)
Answer:
whats the question?
Step-by-step explanation:
