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# Functions and Relations Questions - All Grades

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What is the range of the function {(5,1)(6,2)(7,3)} ?
1. {1,2,3}
2. {5,6,7}
3. {1,2,3,5,6,7}
4. {1,7}
Grade 12 Functions and Relations CCSS: HSF-LE.B.5
The function $f(x)=(2x^2-7x+6)/(x^2+2x-8)$ has:
1. a vertical asymptote at x=2, a horizontal asymptote of y=2, and a hole at x=-4.
2. a horizontal asymptote at x=-4 and a hole at x=2.
3. vertical asymptotes at both x=2 and x=-4.
4. a horizontal asymptote at x=2 and a hole at x=-4.
5. a vertical asymptote at x=-4, a horizontal asymptote of y=2, and a hole at x=2.
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Given $f(x)=15-x$, evaluate $f(8)$.
1. $f(8)=15$
2. $f(8)=0$
3. $f(8)=7$
4. $f(8)=8$
Grade 11 Functions and Relations CCSS: HSF-IF.C.9
The tree in Damien's backyard is 52 feet tall. It grows 0.6 feet per year. Write a function that represents this situation.
1. $f(t) = 52t + 0.6$
2. $f(t) = 52 + 0.6t$
3. $f(t) = 52 + 9t$
4. $f(t) = 52t + 9$
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Given the domain $-pi < x < pi$, at what interval(s) is the function $f(x)=2cos(x)$ negative?
1. $-3/4pi < x < -1/4pi, 1/4pi < x < 3/4pi$
2. $-pi < x < 0$
3. $-1/2pi < x < 1/2 pi$
4. $-pi < x <-1/2pi,1/2pi< x< pi$
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Find $f(x-4)$ given that $f(x)=2x-8$.
1. $f(x-4)=0$
2. $f(x-4)=2x-16$
3. $f(x-4)=2x$
4. $f(x-4)=1/4$
Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and$24.50 per month. Write a function that represents this situation.
1. $f(m) = 50m+24.50$
2. $f(m) = 50+24.50m$
3. $f(m) = 50m+24.50m$
4. $f(m) = 50+24.50$
If y = f(x) is transformed to y = f(x) + 2, the function                     .
1. Shifts up 2 units
2. Shifts down 2 units
3. Shifts left 2 units
4. Shifts right 2 units
1. $f(x) = 5-3x$
2. $f(x) = 5-3$
3. $f(x) = 5x-3$
4. $f(x) = 3x-5$