How would you identify the number of real roots of a polynomial function from the graph of the function
1 answer:
Hi there! See an attachment below! (May not be clear for an explanation so I will explain it to you.)
We can find real roots of polynomial function by counting their x-intercepts of graph. See in the attachment that the graph intersects 3 points on x-axis/plane.
x-axis represents the solutions of the graph or equation of the graph. For example, a graph of (x-1)² would be a parabola that has x-intercept at (1,0). If we solve the equation for (x-1)² = 0, our solution would be x = 1 like the x-intercepts.
Conclusions
- We can find the real roots of the graph by counting how many points does the graph intersect on x-axis/plane.
- If a graph doesn't intersect x-axis or does not have any points on x-axis, that graph or its equation does not have a real root. For example, graph of x²+1
Any questions can be asked through comment as I may reply to you soon! Thanks for using Brainly. Have a great day and happy learning!
You might be interested in
Answer:
(2, -7)
x = 2
y = -7
Step-by-step explanation:
Let's solve this system of equations by elimination.
Start by multiplying the first equation by 2:
Next, multiply the second equation by 3:
Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:
Divide both sides by 23
Substitute 2 for "x" to solve for "y".
Subtract 8 from both sides:
Divide both sides by 3:
Therefore the answer is:
Additional Comments:
Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.