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:
brainly.com/question/371134
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Answer:
W(t) = 10 + 1.5*t
Step-by-step explanation:
Given:
The weight gain of the baby is 1.5 pounds per month.
After 4 months, baby's weight = 16 pounds
Let us the say the weight of the baby when it was born be x.
Then:
x + 1.5*(4) = 16
x = 10
Then weight of the baby as a function of number of months(t) will be=
initial weight + incremental weight per month*no of months(t).
W(t) = 10 + 1.5*t
Answer:
=x^4−2x^3−20x^2+46x−21
if you can give me brainliest that would be great :)
Answer:
Step-by-step explanation:
The area of a rec tangle is A x W
but first you have to find the area of the triangle wich is going to be 127.5.
Then you have to multiply 127.5 times 15.
And that will give you 1,912.5.
I think this is correct, but im not sure.
Answer:
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Step-by-step explanation:
