It is f(x) = 4*3^x.
-40
No. The equation x=7 has an undefined slope since it is simply a vertical line located at x = 7. A basic test for a function is if you can draw a vertical line through the graph of the equation and it touches in more than one place, it is NOT a function.
slope 5/6 through (-18,6)
Your question is not clear. Do you mean y = 4x? That is a straight line connecting (0,0) through (1,4)
y=-x
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
An example of a real life exponential function in electronics is the voltage across a capacitor or inductor when excited through a resistor. Another example is the amplitude as a function of frequency of a signal passing through a filter, when past the -3db point.
To find the exponential function that passes through the point (2, 80), we can test the given options. The equation ( f(x) = 4(5)^x ) fits, as substituting ( x = 2 ) gives ( f(2) = 4(5^2) = 4 \times 25 = 100 ), which does not match. The option ( f(x) = 5(4)^x ) results in ( f(2) = 5(4^2) = 5 \times 16 = 80 ), which is correct. Therefore, the equation is ( f(x) = 5(4)^x ).
If it passes through the origin
You can fit a function to an EDF and CDF through algebra. There is no generic equation.
The two sources of e are through the natural log function, ln(x), and as the base of the exponential function, e^x.
-40
A table, graph, or equation represents a function if each input (or x-value) has exactly one output (or y-value). For a table, check that no x-value repeats with different y-values. In a graph, a vertical line drawn through any x-value should intersect the curve at most once. For an equation, it must pass the vertical line test when graphed, meaning it can be expressed in a form where every x-value corresponds to only one y-value.
it is just that- a linear function that goes through ther origin. ======================================================= Any equation y = ax, where a is a constant, will do so.
The equation in slope-intercept form would be y=-2x
It represents: y = x-35 or as x-y-35 = 0
No. The equation x=7 has an undefined slope since it is simply a vertical line located at x = 7. A basic test for a function is if you can draw a vertical line through the graph of the equation and it touches in more than one place, it is NOT a function.