To graph the function ( f(x) = x^2 - 4 ), first identify its key features. This is a quadratic function with a vertex at ( (0, -4) ) and opens upwards. The x-intercepts can be found by setting ( f(x) = 0 ), leading to ( x^2 - 4 = 0 ), or ( x = \pm 2 ). The y-intercept is at ( (0, -4) ), and the graph will be a parabola with symmetry about the y-axis.
f(x) = -x2 is a function. The equation is solved with just f(x) on one side, and if you were to graph it, it would pass the vertical line test.
When the graph of a function ( f(x) ) is translated left or right by ( k ), the rule for the function changes by adjusting the input variable ( x ). Specifically, if the graph is translated to the right by ( k ), the new function becomes ( f(x - k) ). Conversely, if the graph is translated to the left by ( k ), the new function becomes ( f(x + k) ). This transformation shifts the entire graph horizontally without altering its shape.
True
Yes. It is a piece-wise function with the limit: lim{x->0}= 0 You graph both parts as two series of dotted lines since there are infinite rational and irrational possibilities
graph G(x)=[x]-1
graph gx is the reflection of graph fx and then transformed 1 unit down
y=x
at first draw the graph of fx, then shift the graph along -ve x-axis 21 unit
The graph of the function f(x) = 4, is the horizontal line to the x=axis, which passes through (0, 4). The domain of f is all real numbers, and the range is 4.
It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.It is the function toolbar. The fx is a mathematical way of representing functions.
What is the area bounded by the graph of the function f(x)=1-e^-x over the interval [-1, 2]?
f(x) = -x2 is a function. The equation is solved with just f(x) on one side, and if you were to graph it, it would pass the vertical line test.
When the graph of a function ( f(x) ) is translated left or right by ( k ), the rule for the function changes by adjusting the input variable ( x ). Specifically, if the graph is translated to the right by ( k ), the new function becomes ( f(x - k) ). Conversely, if the graph is translated to the left by ( k ), the new function becomes ( f(x + k) ). This transformation shifts the entire graph horizontally without altering its shape.
True
Yes. It is a piece-wise function with the limit: lim{x->0}= 0 You graph both parts as two series of dotted lines since there are infinite rational and irrational possibilities
False
[fx] is a function of x, it usually used in graphs.