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# Tenth Grade (Grade 10) Functions and Relations Questions

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Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Grade 10 Functions and Relations CCSS: HSF-IF.A.3
What are the next 2 numbers in the sequence $1, 5, 9...$?
1. $45,225$
2. $14,18$
3. $13,17$
4. $32,128$
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Which of these equations is not a function?
1. $y=x^2$
2. $x=3$
3. $y=4x+3$
4. $f(y)=4y^2 -2$
Grade 10 Functions and Relations CCSS: HSF-IF.A.3
The third and fourth and fifth numbers in a sequence are $16, 22, 28...$. Which function describes the sequence?
1. $f(n)=6n+16$
2. $f(n)=6n-2$
3. $f(x)=3x+12$
4. $f(x)=12x+6$
Grade 10 Functions and Relations CCSS: HSF-IF.A.3
Which function describes the sequence $3, 7, 11...$?
1. $f(n)=4n-1$
2. $f(n)=3+2n$
3. $f(x)=2n-3$
4. $f(n)=4x-1$
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Given the domain $-pi < x < pi$, at what interval(s) is range of 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 10 Functions and Relations CCSS: HSF-IF.A.3
What is the 61st number in the sequence $-3, 0, 3...$?
1. $366$
2. $363$
3. $177$
4. $183$
Grade 10 Functions and Relations CCSS: HSF-IF.A.3
What are the fifth and seventh numbers in the sequence $1, 6, 36...$?
1. $216,7776$
2. $216,1296$
3. $7776,46656$
4. $1296,46656$
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Given the domain $-pi < x < pi$, at what interval(s) is slope of the function $f(x)=sinx$ positive?
1. $0 < x < pi$
2. $-pi < x < 0$
3. $-1/2pi < x < 1/2 pi$
4. $-pi < x <-1/2pi,1/2pi< x< pi$
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
At what interval is slope of the function $y=-(x-2)^2$ positive?
1. $x<0$
2. $x>0$
3. $x> -2$
4. $x<2$
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
At what interval is slope of the function $y=(x+2)^2$ positive?
1. $x<0$
2. $x>0$
3. $x> -2$
4. $x<2$
Grade 10 Functions and Relations CCSS: HSF-TF.A.2
If $theta$ is the angle formed between a line from the origin to the point $(-1,-4)$, and the $x$-axis find $tan theta$.
1. $tan theta = -4/sqrt(17)$
2. $tan theta =- 1/sqrt(17)$
3. $tan theta = 4$
4. $tan theta = -1/4$
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Given the domain $-pi < x < pi$, at what interval(s) is range of the function $f(x)=sinx$ negative?
1. $0 < x < pi$
2. $-pi < x < 0$
3. $-1/2pi < x < 1/2 pi$
4. $-pi < x <-1/2pi,1/2pi< x< pi$
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Given the domain $-pi < x < pi$, at what interval(s) is range of the function $f(x)=cos(2x)$ negative?
1. $-3/4pi < x < -1/4pi, 1/4pi < x < 3/4pi$
2. $-pi < x < 0,0 < x < pi$
3. $-1/2pi < x < 1/2 pi$
4. $-1/2pi < x <0,1/2pi< x< pi$
Grade 10 Functions and Relations
Which absolute value function has a graph that contains (-2, -1), (0,0), and (2, -1)?
1. y = 2 times the absolute value of x.
2. y = 1/2 times the absolute value of x.
3. y = -1/2 times the absolute value of x.
4. y = -2 times the absolute value of x.
Grade 10 Functions and Relations CCSS: HSF-TF.A.2
If $theta$ is the angle formed between a line from the origin to the point $(-2,5)$, and the $x$ axis find $sin theta$
1. $sin theta = 5/sqrt(34)$
2. $sin theta =- 3/sqrt(34)$
3. $sin theta = -2/5$
4. $sin theta = sqrt(34)/5$
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