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Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Given Fx And Gx Fx K Use The Graph To Determine The Value Of K class=

Sagot :

  • x is constant .

Count the boxes each as 1.

Its easier to calculate on y axis.

  • f(x) intersected at -2
  • g(x) intersected at 3.

[tex]\\ \sf\longmapsto k=3-(-2)[/tex]

[tex]\\ \sf\longmapsto k=3+2[/tex]

[tex]\\ \sf\longmapsto k=5[/tex]

Answer:

• For g(x), consinder y-intercept (0, 3)

• For f(x), consinder point y-intercept (0, -2)

[tex] \hookrightarrow \: { \tt{g(x) = f(x) + k}}[/tex]

• substitute using coordinates above:

[tex]{ \tt{3 = - 2 + k}} \\ \\ { \tt{k = 3 + 2}} \\ \\ { \boxed{ \tt{ \: \: k = 5 \: \: }}}[/tex]

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