The graph of the function, ƒ, is shown. Find all numbers, x, such that f(x) = 1.

B

Step-by-step solution:

The graph is attached.

The answer choices are:

A) ƒ(1) = 1, ƒ(2) = 1

B) ƒ(−1) = 1, ƒ(2) = 1

C) ƒ(1) = 1, ƒ(−2) = 1

D) ƒ(−1) = 1, ƒ(−2) = 1

Solution:

We want the "x" values where f(x) = 1, which means the functional value (y) would be "1". If we draw a horizontal line at y = 1, we will see at which x-value it occurs.

If you do it, we can see that the intersections occur at x = 2 and x = -1

Looking at the answer choices, we see that we can eliminate A, C, and D.

Correct answer choice is B

goog may have it for you

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3