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# Functions and Relations Questions - All Grades

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Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate $f(x) = -x + 5$ for $x = -2$.
1. $f(-2) = 7$
2. $f(-2) = 10$
3. $f(-2) = -7$
4. $f(-2) = 3$
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. $f(x) = 4x^3 + 2$
1. $f^{-1}(x) = (x^3-2)/4$
2. $f^{-1}(x) = (root[3](x) - 2)/4$
3. $f^{-1}(x) = root[3]((x-2)/4)$
4. $f^{-1}(x) = root[3](x-2)/4$
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
1. Yes, this does represent a function, because all the points are distinct (none of them are coincident).
2. No, this does not represent a function, since a function can not be made up of only points.
3. No, this does not represent a function, since it fails the vertical line test.
4. No, this does not represent a function, since a function is made up of many more points.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What type of function models exponential growth?
1. Linear function
2. Logarithmic function
3. Power function
4. Exponential function
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is equivalent to $(f o g)(x)$?
1. $f(g(x))$
2. $g(f(x))$
3. $f(x)g(x)$
4. $f(x) + g(x)$
Grade 8 Functions and Relations CCSS: 8.F.B.5
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Grade 9 Functions and Relations CCSS: HSF-LE.A.2
Grade 8 Functions and Relations CCSS: 8.F.B.5
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
In an exponential growth equation, what does the base (b) represent?
1. The initial value
2. The growth factor
3. The rate of change
4. The final value
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the impact of inflation on investment returns?
1. Inflation has no impact on investment returns.
2. Inflation increases investment returns.
3. Inflation reduces the purchasing power of investment returns.
4. Inflation has no effect on the nominal value of investment returns, but reduces the real value.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the relationship between the growth rate and the time in an exponential function?
1. The growth rate is proportional to the time
2. The growth rate is proportional to the exponential of the time
3. The growth rate is inversely proportional to the time
4. The growth rate is proportional to the logarithm of the time
What is the formula for calculating compound interest?
1. Principal * Rate * Time
2. Principal * (1 + Rate/n)^(nt)
3. Principal / (1 + Rate/n)^(nt)
4. Principal * Rate^Time
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. $f(x) = (x - 1)/2 + 1$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse function of $f(x) = 3x + 2$?
1. $f(x) = (x - 2)/3$
2. $f(x) = (x + 2)/3$
3. $f(x) = 3x - 2$
4. $f(x) = 3x + 2$
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate $f(x) = -5x$ for $x = 0$.
1. $f(0) = -5$
2. $f(0) = 0$
3. $f(0) = 5$
4. $f(0) = 1$
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