(a) Sketch the function and draw the line between the points on the curve at x = 1 and x = 2. What is its slope? The function y = x2 + 5 is a parabola that opens upward upward with vertex at (x, y) = =(0,5 0,5 Fill in the following table evaluating y = f(x) at x = 1 and x = 2. y = f(x) 1 Graph y = f(x) by plotting the vertex and the points from the table, then draw the line through the two points from the table. 10 Graph Layers > Point 1 > Point 2 O Help Show Key WebAssign. Graphing Tool E Submission Data line: (1,6),(2,9); parabola: x^2+5 Step 2 of 5 Ду -, where Ay is the change in the y-coordinates and Ax Recall the slope, m, of a line passing through two points is m = Ax is the change in the x-coordinates of the two points. Find the slope of the line passing through the points (1, 6) and (2, 9). Ду m = Ax 9 - 2 - 1
(a) Sketch the function and draw the line between the points on the curve at x = 1 and x = 2. What is its slope? The function y = x2 + 5 is a parabola that opens upward upward with vertex at (x, y) = =(0,5 0,5 Fill in the following table evaluating y = f(x) at x = 1 and x = 2. y = f(x) 1 Graph y = f(x) by plotting the vertex and the points from the table, then draw the line through the two points from the table. 10 Graph Layers > Point 1 > Point 2 O Help Show Key WebAssign. Graphing Tool E Submission Data line: (1,6),(2,9); parabola: x^2+5 Step 2 of 5 Ду -, where Ay is the change in the y-coordinates and Ax Recall the slope, m, of a line passing through two points is m = Ax is the change in the x-coordinates of the two points. Find the slope of the line passing through the points (1, 6) and (2, 9). Ду m = Ax 9 - 2 - 1
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:|(a) Sketch the function and draw the line between the points on the curve at x = 1 and x = 2. What is its slope?
The function y = x² + 5 is a parabola that opens upward
upward with vertex at
(х, у) %3D
0,5
0, 5
Fill in the following table evaluating y = f(x) at x = 1 and x = 2.
y = f(x)
1
2
Graph y = f(x) by plotting the vertex and the points from the table, then draw the line through the two points from the
table.
Graph Layers
40
> Point 1
Delete
8
> Point 2
2
Show
Help
Key
WebAssign. Graphing Tool
+ Submission Data
line: (1,6),(2,9); parabola: x^2+5
Step 2 of 5
Ду
where Ay is the change in the y-coordinates and
Ax
Recall the slope, m, of a line passing through two points is m =
Ax is the change in the x-coordinates of the two points.
Find the slope of the line passing through the points (1, 6) and (2, 9).
Ду
m =
Ax
9 -
2 - 1
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