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# Common Core Standard HSF-IF.C.7b Questions

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

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Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions does not have an inverse?
1. $f(x) = x^3 + 1$
2. $f(x) = e^x$
3. $f(x) = ln(x)$
4. $f(x) = |x|$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the inverse of the function $f(x) = 6x - 2$?
1. $f^-1(x) = (x - 2)/6$
2. $f^-1(x) = (x + 2)/6$
3. $f^-1(x) = 6x + 2$
4. $f^-1(x) = 6x - 2$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions is even?
1. $f(x) = 2x - 5$
2. $f(x) = x^2 + 3$
3. $f(x) = 3cos(x)$
4. $f(x) = sqrt(x)$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse of the function $f(x) = 3x + 5$?
1. $f^-1(x) = 3x - 5$
2. $f^-1(x) = (x - 5)/3$
3. $f^-1(x) = (x + 5)/3$
4. $f^-1(x) = (x - 5)/3 + 5$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions is odd?
1. $f(x) = 4x - 7$
2. $f(x) = x^3 + x$
3. $f(x) = tan(x)$
4. $f(x) = ln(x)$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the inverse of the function $f(x) = x^2 + 4x + 5$?
1. $f^-1(x) = √(x - 5) - 2$
2. $f^-1(x) = -2x + √(x - 1)$
3. $f^-1(x) = √(x - 1) - 2$
4. $f^-1(x) = -2x + √(x - 5)$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
If $f(x) = 2x^2 + 3$ and $g(x) = x - 2$, what is the composition $(f o g)(x)$?
1. $2x^3 - 4x^2 - 3x - 6$
2. $2x^3 - 7x + 3$
3. $2x^2 - 7x + 3$
4. $2x^2 + 7x - 3$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the domain of the function $f(x) = (x - 2)/(x + 1)$?
1. All real numbers
2. All real numbers except $x = 1$
3. All real numbers except $x = -1$
4. All real numbers except $x = -2$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse function of $f(x) = 2x + 1$?
1. $f(x) = 2x - 1$
2. $f(x) = (x - 1)/2$
3. $f(x) = (x + 1)/2$
4. $f(x) = (x - 1)/2 + 1$
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