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Which equation represents an exponential function that passes through the point (2 80)f(x) 4(x)5 f(x) 5(x)4 f(x) 4(5)x f(x) 5(4)x?
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 ).
What else can I help you with?
How do we know when an equation represents a proportional relationship?
If it passes through the origin
How can you tell if a table graph or equation represents a function?
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.
What is a linear function that goes through the origin?
it is just that- a linear function that goes through ther origin. ======================================================= Any equation y = ax, where a is a constant, will do so.
Which equation is in standard form and represents a line with slope -1 through the point (-35)?
It represents: y = x-35 or as x-y-35 = 0
Which equation is in standard form and represents a line with slope -1 through the point (-3 5)?
It represents: y = x-35 or as x-y-35 = 0
How do you determine if a relation represents a function?
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!
Which equation represents an exponential function that passes through the point (2 36) (x) 4(3)x f(x) 4(x)3 f(x) 6(3)x f(x) 6(x)3?
It is f(x) = 4*3^x.
What is an Example of a real life exponential function in electronics?
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.
How do we know when an equation represents a proportional relationship?
If it passes through the origin
Generally how do you fit a function to an EDF and CDF and is there a generic equation?
You can fit a function to an EDF and CDF through algebra. There is no generic equation.
What are the two sources of e?
The two sources of e are through the natural log function, ln(x), and as the base of the exponential function, e^x.
What equation represents the circle whose center is (-5,3) and that passes through the point (-1,3)?
-40
How can you tell if a table graph or equation represents a function?
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.
What is a linear function that goes through the origin?
it is just that- a linear function that goes through ther origin. ======================================================= Any equation y = ax, where a is a constant, will do so.
Which equation represents the line that passes through 0 0 and is parallel to the line passing through 2 3 and 6 1?
The equation in slope-intercept form would be y=-2x
Which equation is in standard form and represents a line with slope -1 through the point (-35)?
It represents: y = x-35 or as x-y-35 = 0
Is the equation x equals 7 a function?
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.
