DOL (1/7 & 1/8)

What is the inverse of the points (1,3)(2,4)(6,2)

• (2,6)(3,1)(4,2)

• (-3,-1)(-4,-2)(-2,-6)

• (1,3)(2,4)(6,2)

• (-1,-3)(-2,-4)(-6,-2)

Answer explanation

The inverse of a point (x,y) is (y,x). Applying this to the points (1,3), (2,4), and (6,2) gives (3,1), (4,2), and (2,6) respectively. Thus, the correct answer is (2,6)(3,1)(4,2).

Tags

CCSS.HSF-BF.B.4C

Find the inverse 
f(x)=2x-2
     

• f^-1(x)=1/2x+1

• f^-1(x)=-2-1/2x

• f^-1(x)=-7/3x-20/3

• 2-2/5x

Answer explanation

To find the inverse of f(x)=2x-2, swap x and y: x=2y-2. Solve for y: y=(x+2)/2. Thus, f⁻¹(x)=1/2x+1, which matches the correct answer.

Tags

CCSS.HSF-BF.B.4A

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

Answer explanation

Finding the inverse of a function means switching the x's and y's. This process effectively reverses the function, allowing you to express y in terms of x and vice versa, which is correctly described by the first answer choice.

Tags

CCSS.HSF-BF.B.4A

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

Answer explanation

The inverse function f^-1(x) swaps the coordinates of the points on f(x). Since f(x) goes through (1, 4) and (4, 6), f^-1(x) will go through (4, 1) and (6, 4). Thus, the correct answer is (4, 1) and (6, 4).

Tags

CCSS.HSF-BF.B.4C

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y

• replace y with f^-1(x)

• solve for x

• find the greatest common factor

Answer explanation

After switching x's and y's, the next step is to solve for y. This will give you the inverse function, which is typically expressed as f^-1(x). Therefore, the correct choice is to solve for y.

Tags

CCSS.HSF-BF.B.4A