Answer
The correct options are 1, 2, 3, and 4. Here’s the step-by-step breakdown: The function in question is [tex]f(x)=2^x[/tex] This function is defined for every real number x, indicating that the domain encompasses all real numbers. As x serves as the exponent for 2, an increase in x by 1 unit results in the y-value being doubled. To determine the y-intercept, we set x=0: [tex]f(0)=2^0=1[/tex] Thus, the y-intercept is (0, 1). Since powers of 2 are inherently positive, the value of f(x) remains greater than 0, ensuring that the graph will not dip below the x-axis. Because of this, the range of the function consists of all positive real numbers. So, the correct options remain 1, 2, 3, and 4.
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