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Chapter 2: Q. 17 (page 100)

Sketch the graph of each function. Be sure to label three points on the graph.
$f (x) = x$ .

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given information.

The given function is,

$f (x) = x$ .

Step 2. Finding the ordered pairs.

Using the point plotting method we get,

$x$	$y = f (x) = x$	$(x, y)$
$- 1$	$- 1$	$(- 1, - 1)$
$0$	$0$	$(0, 0)$
$1$	$1$	$(1, 1)$

Step 3. Plotting the points on a graph.

The graph is

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Most popular questions from this chapter

A right triangle has one vertex on the graph of $y = 9 - x^{2}, x > 0$ , at $(x, y)$ , another at the origin, and the third on the positive x-axis at $(x, 0)$ . Express the area Aof the triangle as a function of x.

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

$f (x) = {(x + 2)}^{3} - 3$

In Problems 7–18, match each graph to one of the following functions:

$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

If $f (x) = \{\begin{cases} - 3 x i f x < - 1 \\ 0 i f x = - 1 \\ 2 x^{2} + 1 i f x > - 1 \end{cases}$

Find: (a) $f (- 2)$ and (b) $f (- 1)$ (c) $f (0)$

The inequality $- 1 < x < 3$ can be written in interval notation as___________.

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Sketch the graph of each function. Be sure to label three points on the graph.f(x)=x.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the ordered pairs.

Step 3. Plotting the points on a graph.

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Most popular questions from this chapter

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Sketch the graph of each function. Be sure to label three points on the graph.
$f (x) = x$ .