The h(-6) (36) is greater than f(-6) (23), h(x) has the greatest output when x = -6.
From the table, we can see that the output of h(x) is greater than the output of f(x) when x = -6. Therefore, h(x) has the greatest output when x = -6.
For f(x) = 45x + 7, when x = -6, the output is f(-6) = 45 * (-6) + 7 = 23.
For h(x), when x = -6, the output is h(-6) = 36 (as given in the table).
Therefore, as h(-6) (36) is greater than f(-6) (23), h(x) has the greatest output when x = -6.
Function f(x) is a linear function with a positive slope of 45. This means that as the input value (x) increases, the output value (f(x)) also increases proportionally. However, for negative input values like -6, the function outputs a negative value (-263 in this case).
Function h(x) is represented by the values provided in the table. Based on the table data, we can see that for x = -6, the output is 36. This value is much larger than the output of f(x) for the same input.
Therefore, when considering the specific input value of x = -6, h(x) has the greater output due to its higher value in the table compared to the negative output of f(x).
Question:
Consider the functions f(x) =45 x + 7 and h(x) with values shown in the table below. Which function has the GREATEST output when x = −6?
x f(x) h(x)
-6 23 36
-3 10 27
0 7 24
3 14 33
6 31 42