Consider the functions f(x) and g(x) shown below. f(x) = 4x - 5 | x | 0 | 1 | 2 | 3 |...

Question

Consider the functions f(x) and g(x) shown below.
f(x) = 4x - 5
| x | 0 | 1 | 2 | 3 |
|----|---|---|---|---|
| g(x) | -3 | 4 | 11 | 18 |
Which statement is true?
O f(1) = g(1)
O f(x) and g(x) are decreasing functions.
O The slope of f(x) is greater than the slope of g(x).
O The y-intercept of g(x) is greater than the y-intercept of f(x).

SnapAndSolve AI · Accepted Answer

Calculate f(1): f(1) = 4(1) - 5 = -1. Calculate g(1) from the table: g(1) = 4. Therefore, f(1) ≠ g(1).
Both f(x) and g(x) are increasing functions, not decreasing. f(x) has a positive slope of 4, and g(x) increases as x increases.
The slope of f(x) is 4. The slope of g(x) can be calculated as (4 - (-3))/(1 - 0) = 7/1 = 7. Therefore, the slope of f(x) is not greater than the slope of g(x).
The y-intercept of f(x) is -5. The y-intercept of g(x) is -3. Therefore, the y-intercept of g(x) is greater than the y-intercept of f(x).

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Consider the functions f(x) and g(x) shown below. f(x) = 4x - 5 | x | 0 | 1 | 2 | 3 |...

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