0
What else can I help you with?
What happens to the y-value of the function after the graph crosses the x-axis?
When the graph of a function crosses the x-axis, the y-value of the function changes from positive to negative or vice versa. Specifically, at the point where the graph crosses the x-axis, the y-value is zero. After crossing, if the graph continues upward, the y-value becomes positive; if it continues downward, the y-value becomes negative. This behavior indicates a change in the function's output relative to the x-axis.
Which way does the graph open when 'a' is positive?
When 'a' is positive in a quadratic function of the form (y = ax^2 + bx + c), the graph opens upwards. This means the vertex of the parabola is the lowest point on the graph, and as you move away from the vertex in either direction, the values of (y) increase.
When you multiply a function by negative one what is the effect on its graph?
Multiplying a function by negative one reflects its graph across the x-axis. This means that all the y-values of the function are inverted, turning positive values into negative ones and vice versa. Consequently, any point (x, y) on the original graph will be transformed to (x, -y) on the new graph. This reflection alters the orientation of the graph without changing its shape or the x-values.
What is the shape of a graph of a linear function?
The graph of a linear function is a straight line. It can have a positive slope, indicating an upward trend, or a negative slope, indicating a downward trend. The line can also be horizontal if the function has a slope of zero, representing a constant value. The overall shape is determined by the function's slope and y-intercept.
How do you determine if the graph of a quadratic function has a min or max from its equation?
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
What is a function lie?
It depends on the graph, and what the problem is asking, some are negative and others positive.
What is the difference between negative sine and cosine graphs and positive sine and cosine graphs?
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
What happens to the y-value of the function after the graph crosses the x-axis?
When the graph of a function crosses the x-axis, the y-value of the function changes from positive to negative or vice versa. Specifically, at the point where the graph crosses the x-axis, the y-value is zero. After crossing, if the graph continues upward, the y-value becomes positive; if it continues downward, the y-value becomes negative. This behavior indicates a change in the function's output relative to the x-axis.
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.
Which way does the graph open when 'a' is positive?
When 'a' is positive in a quadratic function of the form (y = ax^2 + bx + c), the graph opens upwards. This means the vertex of the parabola is the lowest point on the graph, and as you move away from the vertex in either direction, the values of (y) increase.
Is a circle graph a function?
No, a circle graph is never a function.
What does it mean for a function when the graph of the derivative crosses the x-axis?
This means that the function has reached a local maximum or minimum. Since the graph of the derivative crosses the x-axis, then this means the derivative is zero at the point of intersection. When a derivative is equal to zero then the function has reached a "flat" spot for that instant. If the graph of the derivative crosses from positive x to negative x, then this indicates a local maximum. Likewise, if the graph of the derivative crosses from negative x to positive x then this indicates a local minimum.
What is the relationship between a logarithmic function and its corresponding graph in terms of the log n graph?
The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
When you multiply a function by negative one what is the effect on its graph?
Multiplying a function by negative one reflects its graph across the x-axis. This means that all the y-values of the function are inverted, turning positive values into negative ones and vice versa. Consequently, any point (x, y) on the original graph will be transformed to (x, -y) on the new graph. This reflection alters the orientation of the graph without changing its shape or the x-values.
What is the shape of a graph of a linear function?
The graph of a linear function is a straight line. It can have a positive slope, indicating an upward trend, or a negative slope, indicating a downward trend. The line can also be horizontal if the function has a slope of zero, representing a constant value. The overall shape is determined by the function's slope and y-intercept.
How can you tell if a graph is a sine function or a cosine function?
sine graph will be formed at origine of graph and cosine graph is find on y-axise
