Use the following functions to solve each:
f(x) = 2x -3 4x - 7y = 28
Which function has the greater y-intercept?
What is f(-2)?
To find the y-intercept of a function, we set the value of x to 0 and solve for y.
For f(x) = 2x - 3:
Setting x = 0, we get:
f(0) = 2(0) - 3 = -3
So, the y-intercept of f(x) = 2x - 3 is -3.
To find the y-intercept of 4x - 7y = 28:
Setting x = 0, we get:
4(0) - 7y = 28
-7y = 28
Dividing both sides by -7, we get:
y = -4
So, the y-intercept of 4x - 7y = 28 is -4.
Comparing the y-intercepts, we can see that the function 4x - 7y = 28 has a greater y-intercept of -4.
To find f(-2) using the function f(x) = 2x - 3:
f(-2) = 2(-2) - 3 = -4 - 3 = -7
So, f(-2) = -7.