To determine which statements are true, we need to analyze each one based on the information given. However, the details about the functions \(g(x)\) and \(h(x)\) are not provided, making it impossible to definitively assess their truthfulness. I'll help you evaluate the statements qualitatively based on the descriptions.
-
h(x) has a constant output of –2.50.
- If true, this means that for any input \(x\), \(h(x) = -2.50\).
-
As x increases, g(x) increases.
- This statement suggests that \(g(x)\) is a monotonically increasing function. If true, \(g(x)\) will rise as \(x\) becomes larger.
-
g(x) is greater than –2.50 for x values less than –1.
- This indicates that for all \(x < -1\), \(g(x)\) yields values greater than -2.50.
-
h(x) is less than –2.50 for x values greater than –2.
- If this is true, then for any \(x > -2\), \(h(x)\) would return values less than -2.50.
-
The input value for which g(x) = h(x) is between –1 and 0.
- This statement indicates there exists at least one \(x\) in the interval (-1, 0) for which \(g(x)\) equals \(h(x)\).
Without specific details about the functions \(g(x)\) and \(h(x)\), we cannot confirm any of these statements. If you provide the functions or additional context, I'd be happy to help you verify which statements are true.