let f and g be two functions defined by: f(x)=x+5, with domain all real numbers; g(x)=2x, with all real numbers. which of the following statement are true for f and g?
something is missing.
To determine which statements are true for functions f(x)=x+5 and g(x)=2x, we can evaluate each statement separately.
1. f(0) = 0 + 5 = 5.
g(0) = 2(0) = 0.
Statement: f(0) > g(0).
Explanation: Since 5 is greater than 0, the statement is true.
2. The domain of f is all real numbers.
Explanation: The function f(x)=x+5 has a domain of all real numbers because there are no restrictions on the input values of x.
3. The range of g is all real numbers.
Explanation: The function g(x)=2x has a range of all real numbers because for any real number input x, the output will be a real number.
4. The graph of f is a straight line.
Explanation: The function f(x)=x+5 represents a linear equation, where the graph is a straight line.
5. The graph of g is a parabola.
Explanation: The function g(x)=2x represents a linear equation, where the graph is also a straight line. Therefore, this statement is false.
Based on the evaluations, the following statements are true for functions f and g:
Statement 1: f(0) > g(0).
Statement 2: The domain of f is all real numbers.