Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
En cada caso, invéntate una ecuación que pueda representar la gráfica. Usando tecnología para graficar, comprueba si tu ecuación está bien.
graphs A, B, C, D, E, F of 6 lines. A, slope = -1, y intercept = 10. B, slope = 1, y intercept = -15. C, slope = 1, y intercept = 15. D, slope = 2, y intercept = 10. E, slope = 2, y intercept = -10. F, slope = -1, y intercept = -15.
Glossary
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