4. The zeros of a function g(x) appear on the graph of y- g(x) x-intercepts hole

Question

4. The zeros of a function g(x) appear on the graph of y- g(x) x-intercepts holes c. vertical asymptotes d. B or C 5. Given the function f (x) = x2-1, determine the value of ft!) 64 63 100 d. 6. Given a function (x) and g(x)- 3(x- 1), how would the graph of y -compare to the graph of y-f(g(x)? a.vertically stretched and translated to the right horizontally compressed and translated to the left horizontally stretched and translated to the right d.horizontally compressed and translated to the right 7. If(x) = log 4x and g(x) = x2-2, which of these expressions is equivalent to ?9(4)? a. og 14 b. og2 16-2 . og4log 14 dlog 4 x log 14 8. If (x) is an odd function and g(x) is an even function, then what type of function is y-fx)+g(x)? odd even c. neither d. cannot be determined for sure 9. If x and g(x) are even functions, then what type of function is y-)g(x)? odd even C. neither d. cannot be determined for sure 10. Given a function f(x) and g(x)--x+1, how would the graph of y-x) compare to the graph of y-gx))? a.reflected in the y-axis and translated to the right b.reflected in the x-axis and translated to the right reflected in the x-axis and translated to the left reflected in the y-axis and translated to the left

Explanation / Answer

4)

d. B or C

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5)

f(f(3))=f(32-1)=f(9-1)=f(8)=82-1=64-1=63

b)63

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6)

a.vertically stretched and translated to the right

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7)

(f o g)(4)

=f(g(4))

=f(42-2)

=f(16-2)

=f(14)

=log 4*14

=log 4 +log 14

c. log 4 +log 14

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8)

f(-x)+g(-x) =-f(x) +g(x)

f(-x)+g(-x) not equals to -(f(x) +g(x)) or f(x)+g(x)

so its

c.neither

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9)

f(-x)g(-x) =f(x)g(x)

b.even

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10)

a.reflected in the y-axis and translated to the right

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