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What happens to the graph as the coefficient increases?
Most graphs will become steeper as the coefficient increases.
How do you find the end behavior of 2x5 plus 5x4-2x3-7x2-4x-12?
f(x) = 2x5 + 5x4 - 2x3 - 7x2 -4x - 12 We use the Leading Coefficient Test to determine the graph's end behavior. Because the degree of f(x) is odd (n = 5) and the leading coefficient, 2, is positive, the graph falls to the left and rises to the right.
The graph of a line goes up and to the right when?
For a straight line graph, if the equation of the graph is written is the slope-intercept form, then the line goes up and to the right when the coefficient of x is positive.
How do you complete the square when the leading coefficient is not 1?
What is the effect on coefficient of static friction when side length of a cube of 5 cm is doubled to original?
The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.
How does changing the sign of the leading coefficient in an equation of the form y equals ax2 affect its graph?
It gets reflected in the x-axis.
What is coefficient in a graph?
In the context of a graph, a coefficient typically refers to a numerical factor that multiplies a variable in an equation representing the graph. For example, in the linear equation (y = mx + b), the coefficient (m) indicates the slope of the line, which represents the rate of change of (y) with respect to (x). Coefficients can also appear in more complex equations and affect the shape and position of the graph in relation to the axes.
When an odd function has a negative leading coefficient what happens to the graph?
the left end of the graph is going in a positive direction and the right end is going in a negative direction.
What does changing the a variable do to quadratic graph?
Changing a variable in a quadratic equation affects the shape and position of its graph. For example, altering the coefficient of the quadratic term (the leading coefficient) changes the width and direction of the parabola, while modifying the linear coefficient affects the slope and position of the vertex. Adjusting the constant term shifts the graph vertically. Overall, each variable influences how the parabola opens and its placement on the coordinate plane.
If the degree of a polynomial function is even and the leading coefficient is negative then what will happen to the ends?
If a polynomial function has an even degree and a negative leading coefficient, the ends of the graph will both point downward. This means that as the input values approach positive or negative infinity, the output values will also approach negative infinity. In summary, the graph will have a "U" shape that opens downwards.
What happens to the graph as the coefficient increases?
Most graphs will become steeper as the coefficient increases.
Which graph represents a function with a negative leading coefficient?
A graph that represents a function with a negative leading coefficient will typically show a downward-opening shape, such as a downward parabola or a linear function with a negative slope. As (x) increases, the (y)-values will decrease, indicating that the function approaches negative infinity in the positive direction. Additionally, if the graph intersects the (y)-axis, the (y)-value at the intercept will be positive or negative, depending on the specific function.
What is the leading coefficient of each fungtion?
what is the leading coefficient -3x+8
How do you find zeros when the leading coefficient is one?
The answer depends on the what the leading coefficient is of!
How do you find the end behavior of 2x5 plus 5x4-2x3-7x2-4x-12?
f(x) = 2x5 + 5x4 - 2x3 - 7x2 -4x - 12 We use the Leading Coefficient Test to determine the graph's end behavior. Because the degree of f(x) is odd (n = 5) and the leading coefficient, 2, is positive, the graph falls to the left and rises to the right.
The graph of a line goes up and to the right when?
For a straight line graph, if the equation of the graph is written is the slope-intercept form, then the line goes up and to the right when the coefficient of x is positive.
How do you know if the graph is a shrink or stretch?
To determine if a graph represents a shrink or a stretch, examine the coefficient of the function. If a vertical stretch occurs, the coefficient (a) is greater than 1, making the graph taller. Conversely, if 0 < a < 1, it indicates a vertical shrink, causing the graph to appear shorter. For horizontal transformations, a coefficient greater than 1 in the argument of the function indicates a horizontal shrink, while a coefficient between 0 and 1 indicates a horizontal stretch.
