Sketch the graph of the function f. f(x) = −2x + 4 if x < 1 3 if x = 1 x2 + 1 if x > 1 The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the third quadrant, goes up and right, crosses the y-axis at y = −4, and ends at the open point (1, −2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, 2), goes up and right becoming more steep, passes through the point (2, 5), and exits the window in the first quadrant. The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 4, and ends at the open point (1, 2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, 2), goes up and right becoming more steep, passes through the point (2, 5), and exits the window in the first quadrant. The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 4, and ends at the open point (1, 2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, −2), goes down and right becoming more steep, passes through the point (2, −5), and exits the window in the fourth quadrant. The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the third quadrant, goes up and right, crosses the y-axis at y = −4, and ends at the open point (1, −2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, −2), goes down and right becoming more steep, passes through the point (2, −5), and exits the window in the fourth quadrant. Evaluate given a = 1. (If an answer does not exist, enter DNE.) lim x→a f(x)

Sketch the graph of the function f. f(x) = −2x + 4 if x < 1 3 if x = 1 x2 + 1 if x > 1 The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the third quadrant, goes up and right, crosses the y-axis at y = −4, and ends at the open point (1, −2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, 2), goes up and right becoming more steep, passes through the point (2, 5), and exits the window in the first quadrant. The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 4, and ends at the open point (1, 2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, 2), goes up and right becoming more steep, passes through the point (2, 5), and exits the window in the first quadrant. The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 4, and ends at the open point (1, 2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, −2), goes down and right becoming more steep, passes through the point (2, −5), and exits the window in the fourth quadrant. The x y-coordinate plane is given. A function with 3 parts is graphed. The first part is linear, enters the window in the third quadrant, goes up and right, crosses the y-axis at y = −4, and ends at the open point (1, −2). The second part is the point (1, 3). The third part is a curve, begins at the open point (1, −2), goes down and right becoming more steep, passes through the point (2, −5), and exits the window in the fourth quadrant. Evaluate given a = 1. (If an answer does not exist, enter DNE.) lim x→a f(x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 53E

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Question

Sketch the graph of the function f.

f(x) =

−2x + 4		if x < 1
3		if x = 1
x² + 1		if x > 1

The x y-coordinate plane is given. A function with 3 parts is graphed.

The first part is linear, enters the window in the third quadrant, goes up and right, crosses the y-axis at y = −4, and ends at the open point (1, −2).
The second part is the point (1, 3).
The third part is a curve, begins at the open point (1, 2), goes up and right becoming more steep, passes through the point (2, 5), and exits the window in the first quadrant.

The x y-coordinate plane is given. A function with 3 parts is graphed.

The first part is linear, enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 4, and ends at the open point (1, 2).
The second part is the point (1, 3).
The third part is a curve, begins at the open point (1, 2), goes up and right becoming more steep, passes through the point (2, 5), and exits the window in the first quadrant.

The x y-coordinate plane is given. A function with 3 parts is graphed.

The first part is linear, enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 4, and ends at the open point (1, 2).
The second part is the point (1, 3).
The third part is a curve, begins at the open point (1, −2), goes down and right becoming more steep, passes through the point (2, −5), and exits the window in the fourth quadrant.

The x y-coordinate plane is given. A function with 3 parts is graphed.

The first part is linear, enters the window in the third quadrant, goes up and right, crosses the y-axis at y = −4, and ends at the open point (1, −2).
The second part is the point (1, 3).
The third part is a curve, begins at the open point (1, −2), goes down and right becoming more steep, passes through the point (2, −5), and exits the window in the fourth quadrant.

Evaluate given a = 1. (If an answer does not exist, enter DNE.)

lim x→a f(x)

Sketch the graph of the function f.
-2x + 4
if x < 1
f(x) =
if x = 1
2
x + 1
if x > 1

Evaluate given a =
1. (If an answer does not exist, enter DNE.)
lim f(x)

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