A cosine function has a period of 5, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its pa
rent function over the x-axis.
Which function could be the function described?
A: f(x)=10cos(2π/5 x)+10
B: f(x)=10cos(5x)−10
C: f(x)=−10cos(5x)+10
D: f(x)=−10cos(2π/5 x)+10
Which function could be the function described?
A: f(x)=10cos(2π/5 x)+10
B: f(x)=10cos(5x)−10
C: f(x)=−10cos(5x)+10
D: f(x)=−10cos(2π/5 x)+10
1 answer:
Answer:
A: f(x)=10cos(2π/5 x)+10
Step-by-step explanation:
The coefficient of x in the cosine argument of the function will be 2π/period. Since the period is 5, the coefficient is 2π/5. This observation eliminates choices B and C.
The description "not a reflection of the parent function over the x-axis" means the multiplier of the cosine function is not negative, eliminating choice D.
The remaining choice A matches the description.
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