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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.
neither linear nor exponential functions have stationary points, meaning their gradients are either always +ve or -ve
They are quite unrelated. One thing they have in common is that both are monotonic.
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What similarities and differences do you see between the function and linear equations?
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
How are linear and exponential functions alike?
They have infinite domains and are monotonic.
Categorize the graph as linear increasing linear decreasing exponential growth or exponential decay.?
Exponential Decay. hope this will help :)
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 Nth term of a non linear sequence?
It is not possible to answer the question since a non linear sequence could be geometric, exponential, trigonometric etc.
What similarities and differences do you see between the function and linear equations?
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
How are linear and exponential functions alike?
They have infinite domains and are monotonic.
Is the relationship linear or exponential?
is the relationship linear or exponential
What are the similarities between exponential linear and quadratic functions?
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
What similarities do all graphs of linear functions share?
They are all represented by straight lines.
Different types of functions in maths?
Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.
What similarities and differences do you see between functions and linear equations studied in Ch 3 Are all linear equations functions Is there an instance in which a linear equation is not a funct?
Assuming you work with two variables (like x and y) only: if the graph is a vertical line, e.g. x = 5, then it is not a function. Otherwise it is.
Categorize the graph as linear increasing linear decreasing exponential growth or exponential decay.?
Exponential Decay. hope this will help :)
What are the similarities between linear relationships and quadratic relationships?
All linear equations of the form y = mx + b, where m and b are real-valued constants, are functions. A linear equation of the form x = a, where a is a constant is not a function. Functions must be one-to-one. That means each x-value is paired with exactly one y-value.
What is the difference between linear and nonlinear demand functions?
distinguish between linear and non linear demands funcions
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 similarities and differences do you see between functions and linear equations studied in Chapter 3?
This is clearly a homework question and while we are here to help, we are not here to do your homework. If you have specific questions, please ask.
