You've mentioned a linear function \( f(x) = 2.5 - 4x \). If you need help with this function, here are some aspects you might be interested in:
Graphing the Function: This function can be expressed in slope-intercept form \( y = mx + b \), where \( m = -4 \) and \( b = 2.5 \). This means the line has a slope of -4 and crosses the y-axis at 2.5.
Finding the x-intercept: To find the x-intercept, set \( f(x) = 0 \): \[ 0 = 2.5 - 4x \\ 4x = 2.5 \\ x = \frac{2.5}{4} = 0.625 \] So, the x-intercept is \( (0.625, 0) \).
Finding the y-intercept: The y-intercept occurs when \( x = 0 \): \[ f(0) = 2.5 - 4(0) = 2.5 \] So, the y-intercept is \( (0, 2.5) \).
Analyzing the Function: The function is decreasing since the slope is negative. As \( x \) increases, \( f(x) \) decreases.
Finding Values: You can also find specific values of the function by substituting different \( x \) values into the equation.
If you have a specific question or need further assistance regarding this function, please let me know!
