This graph looks very similar to the famous equation of y equal 1 over x; in either case you get a curve which asymtotically approaches infinity at the y axis where x=0, and which asymptotically approaches zero as x approaches infinity. The difference is that if it is 3 over x, all the values will be three times higher than if it is 1 over x. But the shape of the curve is the same.
In statistics, a graph and a chart are the same. In arithmetic, a graph is the plot of a function over values. There are no charts.
7
Yes, ( \frac{2x}{3} ) is a rational function. A rational function is defined as the ratio of two polynomials, and in this case, the numerator ( 2x ) is a polynomial of degree 1, while the denominator ( 3 ) is a constant polynomial (degree 0). Since both the numerator and denominator are polynomials, ( \frac{2x}{3} ) qualifies as a rational function.
If you can differentiate the function, then you can tell that the graph is concave down if the second derivative is negative over the range examined. As an example: for f(x) = -x2, f'(x) = -2x and f"(x) = -2 < 0, so the function will be everywhere concave down.
bend over and ill show you
What is the area bounded by the graph of the function f(x)=1-e^-x over the interval [-1, 2]?
Because the inverse of a function is what happens when you replace x with y and y with x.
When a function is multiplied by -1 its graph is reflected in the x-axis.
Yes. 0.3 with a bar over it is 1/3, which is a rational number.
In statistics, a graph and a chart are the same. In arithmetic, a graph is the plot of a function over values. There are no charts.
7
an exponential function flipped over the line y=x
To find the area under a graph, you can use calculus by integrating the function that represents the graph. This involves finding the definite integral of the function over the desired interval. The result of the integration will give you the area under the graph.
Yes, it does.
x
Multiply by -1
y=x