(a)
To graph:Graph of
(a)
Explanation of Solution
Given information:
Calculation:
Graph of
Similarly,
x | -2 | -1 | 0 | 1 | 2 | 3 |
y | -2 | 0 | 2 | 4 | 2 | 0 |
Conclusion:
It is a modulus function.
(b)
Vertex of the graph.
(b)
Answer to Problem 2CB
vertex of the graph is (1,4)
Explanation of Solution
Given data:
Graph of the equation
Calculation:
The vertex of the graph is the point from where the line of graph changes its direction.
So the vertex of the graph is (1,4)
Conclusion:
vertex of the graph is (1,4)
(c)
Domain and range of the function.
(c)
Answer to Problem 2CB
The domain is
Explanation of Solution
Given data:
Graph of the equation
Calculation:
By the graph it can be seen that the value of x for the equation is all real number
So the domain is
And the value of y axis is from 4 to -8
So the range is
Conclusion:
The domain is
(a)
x and y-intercept of the
(a)
Answer to Problem 2CB
The y-intercept is 2 and the x-intercept is 3.
Explanation of Solution
Given data:
Calculation:
The y intercept of the
And the x-intercept of the
Conclusion:
The y-intercept is 2 and the x-intercept is 3.
(e)
The range of function by vertex and sign of a.
(e)
Answer to Problem 2CB
As the vertex is the point from where direction of line change so it will tell us about the highest or lowest value of range of function.and the sign of a will tell about the direction of line coming from so it will tell us the highest value of range.
Explanation of Solution
Given data:
As the vertex is the point from where direction of line change so it will tell us about the highest or lowest value of range of function.and the sign of a will tell about the direction of line coming from so it will tell us the highest value of range.
Conclusion:
As the vertex is the point from where direction of line change so it will tell us about the highest or lowest value of range of function.and the sign of a will tell about the direction of line coming from so it will tell us the highest value of range.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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