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What are similarities between linear and exponential functions?
Linear and exponential functions are both types of mathematical functions that describe relationships between variables. Both types of functions can be represented by equations, with linear functions having a constant rate of change and exponential functions having a constant ratio of change. Additionally, both types of functions can be graphed on a coordinate plane to visually represent the relationship between the variables.
Categorize the graph as linear increasing linear decreasing exponential growth or exponential decay.?
Exponential Decay. hope this will help :)
What is the difference between exponential functions and logarithmic functions?
Exponential and logarithmic functions are different in so far as each is interchangeable with the other depending on how the numbers in a problem are expressed. It is simple to translate exponential equations into logarithmic functions with the aid of certain principles.
What is the difference between a line graph and a linear equation?
A linear equation, when plotted, must be a straight line. Such a restriction does not apply to a line graph.y = ax2 + bx +c, where a is non-zero gives a line graph in the shape of a parabola. It is a quadratic graph, not linear. Similarly, there are line graphs for other polynomials, power or exponential functions, logarithmic or trigonometric functions, or any combination of them.
What is the difference between power functions and exponential functions?
Power functions are functions of the form f(x) = ax^n, where a and n are constants and n is a real number. Exponential functions are functions of the form f(x) = a^x, where a is a constant and x is a real number. The key difference is that in power functions, the variable x is raised to a constant exponent, while in exponential functions, a constant base is raised to the variable x. Additionally, exponential functions grow at a faster rate compared to power functions as x increases.
