A, first find the slope of the line shown, which is 2x+1
slope is rise/over run, with the y-intercept being on 1
When looking at rate of change, it's really just telling you to look at the slope and how steep it is. The more steeper it is, the higher the rate of change. (as close as it is to being a vertical line). Since the slope here is 2. Look for one that has a slope greater than 2, which is 3. Therefore the answer
A. 3x-1
Hope this helps!
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:
-x • (81x3y4 + 343x2y2 - 7938x - 3969y2)
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441
Answer:
Step-by-step explanation:
take (1,3) and (9,7)
slope=(7-3)/(9-1)=4/8=1/2
