
Concept explainers
To plot the graph y=2⋅8x , find the value of 2(8)−0.5 , find the y-intercept and state the domain and range.

Answer to Problem 10PPS
y−intercept:(0,2)Domain:(−∞, ∞)Range:(0,∞)2(8)−0.5=0.707
Explanation of Solution
Given information:
y=2⋅8x
Concept used:
- Domain of a function y=f(x) is the set of x values for which the function is defined.
- Range of a function y=f(x) is the set of y -values that the function can take.
- x -intercept is the point where the graph of the function crosses/touches the x -axis.
- y -intercept is the point where the graph of the function crosses/touches the y -axis.
Calculation:
In order to get the graph of y=2⋅8x , first make a table by taking some random values of x and find the corresponding values of y . And then plot the ordered pairs and connect the points with a smooth curve, so the table is:
x | y=2⋅8x | y |
- 2 | y=2⋅8−2 | 0.03 |
- 1 | y=2⋅8−1 | -0.25 |
0 | y=2⋅80 | 2 |
1 | y=2⋅81 | 16 |
2 | y=2.82 | 128 |
Graph of the function is shown below:
From the above graph it is clear that the curve intersecting the y -axis at the point (0, 2). So, the y -intercept of the function is at y=2 .
Since the graph is moving form left to right without any discontinuity, so the function is defined for all values of x . Thus, the domain of the function is all real numbers, that is, Domain=(−∞, ∞) .
Also, from the graph it is clear that function can take only the y -values that are above the x -axis. So, the range of the function will be all real number greater than 0, that is, Range=( 0,∞) .
And the value of 2(8)−0.5 is 0.707 from the above graph.
Chapter 9 Solutions
Algebra 1
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