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If the base in an exponential function is greater than 0, the graph of the equation will always show exponential growth. T/F

If the base is greater than 0 but less than 1, then the graph will show exponential decay. T/F

Exponential functions do not form straight lines. T/F

The point (3, 6) is located on the graph of y = 2x. T/F

I need help ASAP Please!!!!

Respuesta :

bulldogkg10
The first one is false! An exponent must be greater than 1 to show exponential growth. The next 3 are TRUE! From 0 to 1, the exponent will show decay. An exponential function make some sort of parabola shape and NOT a straight line. And for y=2x, just plug in your given points (x,y) so: 6=2(3) which means 6=6, and that is true
facundo3141592

Here we want to see if the given statements about exponential functions are true or false, we will see that:

  • 1) False.
  • 2) True.
  • 3) True.
  • 4) False.

Analyzing the statements:

1) An exponential equation can be written as:

y = A*(r)^x

Where r is the base.

For example, if we have 0 < r < 1, then we have an exponential decay, so we can have the base larger than zero and not have an exponential growth, so we conclude that this statement is false.

2) True, for what I wrote above, a base between 0 and 1 represents an exponential decay.

3) Exponential functions have a rate of change that depends on the variable, so the rate of change is never really constant, which implies that exponential functions do not form straight lines, so this is true.

4) To see if this is true we just need to evaluate the point in the equation:

y = 2^x

The point is (3, 6), so  x = 3 and y = 6, we get:

6 = 2^3 = (2*2*2)

6 = 8

This is false, so no, the point is not located in the graph.

If you want to learn more about exponential functions, you can read:

https://brainly.com/question/11464095

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