Question
4)) Function A and Function B are linear functions. 4)) Function A )) Function B y=4x-1 4) Which statement is true? The y-intercept of Function A is greater than the y-intercept of Function B. The y-intercept of Function A is less than the y-intercept of Function B.
Answer
4.2
(289 Votes)
Ernest
Master · Tutor for 5 years
Answer
To determine which statement is true, we need to compare the y-intercepts of Function A and Function B.From the picture details, we know that Function A is a linear function that passes through the points (0, -6) and (4, 2). The y-intercept of a function is the point where the line crosses the y-axis, which occurs when x = 0. Therefore, the y-intercept of Function A is the point (0, -6).Function B is given by the equation
. To find the y-intercept of Function B, we set x = 0 and solve for y:\(y = 4(0) - 1\)
So, the y-intercept of Function B is the point (0, -1).Now, let's compare the y-intercepts of both functions:Function A's y-intercept: (0, -6)Function B's y-intercept: (0, -1)Since -6 is less than -1, the y-intercept of Function A is less than the y-intercept of Function B.Therefore, the true statement is:The y-intercept of Function A is less than the y-intercept of Function B.