Inverse of the graph below on the same graph. Make a table of values for each. Is the original graph 1 to 1?
Did the original graph pass the
horizontal line test?
Is the inverse a function?
Sketch the function. Use the horizontal line test to decide if the inverse is a function. If not,
restrict the domain, make a table of values for each, AND graph the inverse function.
15. f(x) = x2 – 1
Does f(x) pass the horizontal line test?
Restricted Domain

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

can you complete your sentence? i could !