which graph shows a function with a range of all real numbers greater than or equal to -1?
which graph shows a function with a range of all real numbers greater than or equal to -1?
Answer
Explanation:
Step1: Understand range concept
The range of a function is the set of all possible output - values (y - values). We want a function where $y\geq - 1$.
Step2: Analyze each graph
- For the first graph, the maximum value of y is around - 2, so its range does not satisfy $y\geq - 1$.
- For the second graph, the minimum value of y is around - 2, so its range does not satisfy $y\geq - 1$.
- For the third graph, the maximum value of y is around - 1, but the range is $y\leq - 1$, not $y\geq - 1$.
- For the fourth graph, the minimum value of y is - 1 and the function extends upwards. So the range of this function is all real numbers $y\geq - 1$.