Answers to the Inverse Relations and Functions Practice, cause I couldn't find it anywhere.
1. A relation is given in the table below. Write out the ordered pair for the inverse, and then determine is the inverse is a function.
B) (0,1), (1,2), (0,3), (2,4), (0,5); Inverse is not a function
2. A relation is shown in the graph below. Write out the ordered pairs for the inverse, and then determine if the inverse is a function.
B) (0,-1), (2,1), (-2,1), (3,3), (-3,3); inverse is a function
3. Find the inverse of the function, and then determine whether the inverse is a function. y = 3√x-5
C) y = x^3 + 5; inverse is a function
4. Find the inverse of the function, and then determine whether the invers is a function. y = x^2 + 4
A) y = ±√x-4; invers is not a function
5. Graph y = 3x^2 - 5 and its inverse
A) (You can check with mathway)
6. The formula for converting from Celsius to Fahrenheit temperatures if F = 9/5C + 32. Determine whether the original formula is a function, and whether the inverse is a function.
B) Original is a function; inverse is a function
7. Let f(x) = 10x - 10. Find he value of (f o f^-1)(-10)
D) -10
8. Without finding the invers of the function, determine the range of the inverse of f(x) = √x - 4
C) All real numbers greater that or equal to 4
9. Determine whether the statement below is always, sometimes, or never true.
The inverse of a cubic function is also a function
B) Sometimes true
10. Determine whether the statement below is always, sometimes, or never true.
A linear function has an inverse relation.
A) Always true
7 answers
1. B) Relation t is a function. The inverse of a relation t is a function.
2. A) y = ± √x+3/7
3. B) (Again, you can use mathway)
4. A) f^-1(x) = 7±√x/8; f^-1 is not a function
5. C) 4
y=x-5
y=x+5