Compress or Stretch Function Horizontally: f(cx)
Read this topicExplanations 3
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Problems 22
- Let f(x)=x274f(x) = \frac{x}{274}f(x)=274x . What is f(274⋅572)f(274 \cdot 572)f(274⋅572)?
- For which of the following functions is it true that f(cx)=c⋅f(x)f(cx) = c \cdot f(x)f(cx)=c⋅f(x)?
- Let f(x)=x3f(x) = x^3f(x)=x3. What is f(cx)f(cx)f(cx) equal to?
- Suppose f(x)=bxf(x) = b^xf(x)=bx for some constant bbb. What is f(cx)f(cx)f(cx) equal to?
- Let f(x)f(x)f(x) be a real function, and g(x)=f(2x)g(x) = f(2x)g(x)=f(2x). Suppose the slope between points (a,f(a)),(b,f(b))(a,f(a)),(b,f(b))(a,f(a)),(b,f(b)) (on the graph y=f…
- Let f(x)f(x)f(x) be a real function, and g(x)=f(2x)g(x) = f(2x)g(x)=f(2x). Suppose the maximum value of fff is 101010. What is the maximum value of ggg?
- Let f(x)=x3f(x)=x^3f(x)=x3 and let c=3c=3c=3. Which of the following graphs is f(cx)f(cx)f(cx)?
- Let f(x)=x+3f(x)=x+3f(x)=x+3 and let c=4c=4c=4. Which of the following graphs is f(cx)f(cx)f(cx)?
- Let f(x)=x2f(x)=x^2f(x)=x2 and let c=−2c=-2c=−2. Which of the following graphs is f(cx)f(cx)f(cx)?
- True or False: If f(x)=x2f(x)=x^2f(x)=x2 and c=3c=3c=3, then f(cx)f(cx)f(cx) is graphed above.
- True or False: If f(x)=∣x∣+1f(x)=|x|+1f(x)=∣x∣+1 and c=5c=5c=5, then f(cx)f(cx)f(cx) is graphed above.
- Mark all equations below whose graphs can be obtained from the graph of y=x2+2x+1y = x^2 + 2x + 1y=x2+2x+1, by a combination of horizontal scalings and/or reflections about the …
- Let f(x)=4x2+7x−10f(x)=4x^2+7x-10f(x)=4x2+7x−10. If c=2c=2c=2, what is f(cx)f(cx)f(cx) equal to?
- Let f(x)=5x2f(x)=5x^2f(x)=5x2. If c=8c=8c=8, what is f(cx)f(cx)f(cx) equal?
- Let f(x)=2x2+4x+12f(x)= 2x^2+4x+12f(x)=2x2+4x+12. What is f(cx)f(cx)f(cx) if c=12c=\dfrac{1}{2}c=21?
- Write the equation for the function f(x)=1xf(x)=\dfrac{1}{x}f(x)=x1 compressed horizontally by a factor of 555.
- Write the equation for the function f(x)=8x2+6x−10f(x)=8x^2+6x-10f(x)=8x2+6x−10 stretched horizontally by a factor of 222.
- True or False: If f(x)=x3f(x)= x^3f(x)=x3 and c=2c=2c=2, then f(cx)f(cx)f(cx) is graphed above.
- True or False: The equation g(x)=15x+1g(x)= \dfrac{1}{5}x+1g(x)=51x+1 compresses the function f(x)=x+1f(x)=x+1f(x)=x+1 horizontally by a factor of 555.
- Let f(x)=4x3+17f(x)=4x^3+17f(x)=4x3+17. What is f(cx)f(cx)f(cx) is c=3c=3c=3?
- Which equation represents this graph above?
- Let f(x)=7xf(x)=7xf(x)=7x. What is f(cx)f(cx)f(cx) if c=2c=2c=2?