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# Common Core Standard HSF-IF.B.4 Questions

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

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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. $-pi < x <-1/2pi,1/2pi< x< pi$
Which function has a y-intercept of 4?
1. $y = 2x^2 + 1$
2. $y = 2x^2 + 4x$
3. $y = 2x^2 - 4$
4. $y = 2x^2 + 4$
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. $-pi < x <-1/2pi,1/2pi< x< pi$
At what interval is slope of the function $y=-(x-2)^2$ positive?
1. $x<0$
2. $x>0$
3. $x> -2$
4. $x<2$
At what interval is slope of the function $y=(x+2)^2$ positive?
1. $x<0$
2. $x>0$
3. $x> -2$
4. $x<2$
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. $-pi < x <-1/2pi,1/2pi< x< pi$
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. $-1/2pi < x <0,1/2pi< x< pi$
What is the x-coordinate of the vertex of the graph of $y = -2x^2 - x +8?$
1. $-1$
2. $-(1/4)$
3. $(1/4)$
4. $(1/2)$