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.

can i get the link to the assignment?

step-by-step explanation:

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2