Concept explainers
a.
To graph:
a.
Explanation of Solution
Given information: Given function is
Calculation:
Create plot points for the function
x | 0 | 1 | 2 | 3 | 4 |
y | 0 | 1 | 4 | 9 | 16 |
Graph of the function
b.
To write: a piecewise-defined function to describe the graph of
b.
Answer to Problem 44PPS
There are 2 pieces to this function. One is
Explanation of Solution
Given information: Given function is
Calculation:
First solve the function
There are 2 pieces to this function. One is
c.
To graph: on the same coordinate system,
c.
Explanation of Solution
Given information: Given functions are
Calculation:
Create plot points for the function
x | 0 | 1 | 4 | 9 | 16 |
y | 0 | 1 | 2 | 3 | 4 |
Create plot points for the function
x | 0 | 1 | 4 | 9 | 16 |
y | 0 | -1 | -2 | -3 | -4 |
The graph using plot points from the previous steps, using graphing calculator is given below.
d.
To graph: on the same coordinate system,
d.
Explanation of Solution
Given information: Given function is
Calculation:
Create plot points for the function
x | 0 | 1 | 2 | 3 | 4 |
y | 0 | 1 | 2 | 3 | 4 |
Graph using plot points for the function
e.
To compare: the graph of the parabola to the graphs of the square root functions.
e.
Explanation of Solution
When combine the plot points, with a graph of the parabola and the square root functions, that the functions are the same shape. The square root functions create a parabola that's on its side. Also the plot points show that they are the inverse of on another.
Chapter 10 Solutions
Algebra 1
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