What is the value of the exponential expression 5^0

  D)The exponential function is growing faster, because it grows by a factor that is multiplied by the previous y-value instead of being added like the linear function.

Step-by-step explanation:

The rate of growth of a linear function is some constant. The rate of growth of an exponential function is unconstrained when the base of the exponential is more than 1, as it is here.

At some point, an exponential function will grow faster than a polynomial function of any degree. (A linear function is a polynomial function of degree 1.)

3. For some x-values, the y-value of the exponential function is smaller.

4. For some x-values, the y-value of the exponential function is greater.

5. For any x-value greater than 7, the y-value of the exponential function is greater.

Step-by-step explanation:

We are given the functions,

[tex]y=2x^2\\\\y=2^x[/tex]

It is required to find the true statements of the functions.

From the graphs of the functions below, we have that the graphs intersect at the point (6.32,79.878).

To the left of the point, we have that the exponential function have smaller y-values than the parabola.

To the right of the point, we have that the exponential function have greater y-values than the parabola.

Moreover, after x= 7, the y-values of the exponential function are always greater than parabola.

The answer is option D) The exponential function is growing faster, because it grows by a factor that is multiplied by the previous y-value instead of being added like the linear function.

Step-by-step explanation:

Based on the table of the question, we can represent the grapsha by the following equations

Linear

f(x) = 7*x

Exponential

f(x) = 2^x

Which are consistent with the table values.

Exponential functions  grow faster than linear functions.

We can easily that by evaluating both functions at x = 10

Linear

f(x) = 7*10 = 70

Exponential

f(x) = 2^(10) = 1024

Note the difference between both. Imagine for numbers greater than 10.

Did you check on chegg already . It might help

Im sure its For any x-value, the y-value of the exponential function is always smaller.

The answer is; for equal intervals, the y-values of both functions have a common ratio.
hope it helps...

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