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, the y-value multiplies by 2. The y-intercept is (0, 1). The graph never goes below the x-axis because powers of 2 are never negative. The range is all real numbers.

Answer: The correct options are 1, 2, 3 and 4. Step-by-step explanation: The given function is [tex]f(x)=2^x[/tex] The above function is defined for all the values of x. ⇒ Therefore the domain is all real numbers x because the exponent of 2 can be any real number. ⇒ The x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2. Put x=0, to find the y-intercept. [tex]f(x)=2^=1[/tex] ⇒The y-intercept is (0, 1). The value of f(x) is always greater than 0 because powers of 2 are never negative. [tex]f(x)>0[/tex] ⇒The graph never goes below the x-axis because powers of 2 are never negative. ⇒Therefore the range of the function is all positive real numbers. Therefore the correct options are 1, 2, 3 and 4.