Question

Answer the following questions. ( a) Which function has the graph with a y-intercept closest to ? Function 1 Function 2 Function 3 Function 4 (b) Which function has the graph with the greatest slope? Function 1 Function 2 Function 3 Function 4 (c) Which functions have graphs with -intercepts greater than 3? (Check all that apply.) Function 1Function 2Function 3 Function 4

Answer 1

step 1

Find out the slope and the y-intercept of each function

Function 1

Find out the slope

we have the points (0,-4) and (1,-2)

m=(-2+4)/(1-0)

m=2

y-intercept=-4

Function 2

take the points (0,5) and (1,4)

Find out the slope

m=(4-5)/(1-0)

m=-1

y-intercept=5

Function 3

y=-4x-1

slope is m=-4

y-intercept =-1

Function 4

m=5

y-intercept=2

therefore

Part A

The graph with a y-intercept closest to zero is Function 3

Part B

The graph with the greatest slope is the Function 4

Part C

Graph with a y-intercept greater than 3 is only Function 2