Which of the statements about the graph of the function y=2x are true? Check all of the boxes
that apply
The domain is all real numbers x because the
exponent of 2 can be any real number
When the x values increases by 1 unit, they
value multiplies by 2
The y-interceptis (0, 1),
The graph never goes below the x axis
because powers of 2 are never negative,
The range is all real numbers

The correct options are

A: The domain is all real numbers x because the  exponent of 2 can be any real number,

B: When the x values increases by 1 unit, the y  value multiplies by 2

C: The y-intercept is (0, 1).

Given that:

The first option is correct since any real number can be raised to any real exponent.

The second option is correct since:

The third option is true since putting x = 0 gives y = 1.

The fourth option is False because y can only assume positive real number values thus the range is .

Thus, we have only option A and C as correct option:

A: The domain is all real numbers x because the  exponent of 2 can be any real number,

B: When the x values increases by 1 unit, the y  value multiplies by 2

C: The y-intercept is (0, 1).

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Answers:

Domain is all real numbers

When x goes up by 1, y multiplies by 2

The y intercept is (0,1)

The graph never goes below the x axis

Basically nearly every statement is true except for "the range is all real numbers". The range is actually y > 0 which fits with the graph not going below the x axis. Raising 2 to any real number leads to some positive result. If x = 0, then 2^x = 2^0 = 1 which is why the y intercept is 1.

The second statement can be shown by comparing 2^x with 2^(x+1). Dividing those values leads to [2^(x+1)]/[2^x] = 2^(x+1-x) = 2^1 = 2, meaning that increasing x by 1 has made y twice as large. An example of this would be going from (0,1) to (1,2) then to (2,4) and to (3,8) and so on.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above